Least Common Multiple (LCM)

Definition of Least Common Multiple

  • Least common multiple is the smallest nonzero number that is a common multiple of two or more numbers considered.

                                  

Examples of Least Common Multiple

  • The LCM of 6, 9, 15 is 90.

6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, . . .

9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, .

15: 15, 30, 45, 60, 75, 90, . . .

                                        

More about Least Common Multiple

  • Finding LCM comes handy while adding, subtracting, or comparing two or more fractions with unlike denominators.
  • Least Common Denominator: Least common denominator is the least common multiple of the denominators of the fractions with unlike denominators.

                                   

Solved Example on Least Common Multiple

Find the least common multiple of 13 and 11.

Choices:

A. 13

B. 24

C. 143

D. 11

Correct Answer: C

Solution:

Step 1: As 13 and 11 are coprimes, the least common multiple is nothing but their product.

Step 2: So, least common multiple of 13 and 11 is 143.

                                        

Related Terms for Least Common Multiple

  • Multiple
  • Common Multiple

                                          

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