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What is the Least Common Multiple of 10923 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 10923 and 10932 is 39803412.

LCM(10923,10932) = 39803412

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Least Common Multiple of 10923 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 10923 and 10932, than apply into the LCM equation.

GCF(10923,10932) = 3
LCM(10923,10932) = ( 10923 × 10932) / 3
LCM(10923,10932) = 119410236 / 3
LCM(10923,10932) = 39803412

Least Common Multiple (LCM) of 10923 and 10932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10923 and 10932. First we will calculate the prime factors of 10923 and 10932.

Prime Factorization of 10923

Prime factors of 10923 are 3, 11, 331. Prime factorization of 10923 in exponential form is:

10923 = 31 × 111 × 3311

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 10923 and 10932.

LCM(10923,10932) = 31 × 111 × 3311 × 22 × 9111
LCM(10923,10932) = 39803412