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What is the Least Common Multiple of 10932 and 10944?

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 10932 and 10944 is 9969984.

LCM(10932,10944) = 9969984

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Least Common Multiple of 10932 and 10944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10932 and 10944, than apply into the LCM equation.

GCF(10932,10944) = 12
LCM(10932,10944) = ( 10932 × 10944) / 12
LCM(10932,10944) = 119639808 / 12
LCM(10932,10944) = 9969984

Least Common Multiple (LCM) of 10932 and 10944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10932 and 10944. First we will calculate the prime factors of 10932 and 10944.

Prime Factorization of 10932

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

10932 = 22 × 31 × 9111

Prime Factorization of 10944

Prime factors of 10944 are 2, 3, 19. Prime factorization of 10944 in exponential form is:

10944 = 26 × 32 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 10932 and 10944.

LCM(10932,10944) = 26 × 32 × 9111 × 191
LCM(10932,10944) = 9969984