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What is the Least Common Multiple of 10913 and 10932?

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 10913 and 10932 is 119300916.

LCM(10913,10932) = 119300916

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Least Common Multiple of 10913 and 10932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10913 and 10932, than apply into the LCM equation.

GCF(10913,10932) = 1
LCM(10913,10932) = ( 10913 × 10932) / 1
LCM(10913,10932) = 119300916 / 1
LCM(10913,10932) = 119300916

Least Common Multiple (LCM) of 10913 and 10932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10913 and 10932. First we will calculate the prime factors of 10913 and 10932.

Prime Factorization of 10913

Prime factors of 10913 are 7, 1559. Prime factorization of 10913 in exponential form is:

10913 = 71 × 15591

Prime Factorization of 10932

Prime factors of 10932 are 2, 3, 911. Prime factorization of 10932 in exponential form is:

10932 = 22 × 31 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 10913 and 10932.

LCM(10913,10932) = 71 × 15591 × 22 × 31 × 9111
LCM(10913,10932) = 119300916