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What is the Least Common Multiple of 13913 and 13924?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 13913 and 13924 is 193724612.

LCM(13913,13924) = 193724612

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Least Common Multiple of 13913 and 13924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13913 and 13924, than apply into the LCM equation.

GCF(13913,13924) = 1
LCM(13913,13924) = ( 13913 × 13924) / 1
LCM(13913,13924) = 193724612 / 1
LCM(13913,13924) = 193724612

Least Common Multiple (LCM) of 13913 and 13924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13913 and 13924. First we will calculate the prime factors of 13913 and 13924.

Prime Factorization of 13913

Prime factors of 13913 are 13913. Prime factorization of 13913 in exponential form is:

13913 = 139131

Prime Factorization of 13924

Prime factors of 13924 are 2, 59. Prime factorization of 13924 in exponential form is:

13924 = 22 × 592

Now multiplying the highest exponent prime factors to calculate the LCM of 13913 and 13924.

LCM(13913,13924) = 139131 × 22 × 592
LCM(13913,13924) = 193724612