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What is the Least Common Multiple of 11928 and 11944?

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 11928 and 11944 is 17808504.

LCM(11928,11944) = 17808504

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Least Common Multiple of 11928 and 11944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11928 and 11944, than apply into the LCM equation.

GCF(11928,11944) = 8
LCM(11928,11944) = ( 11928 × 11944) / 8
LCM(11928,11944) = 142468032 / 8
LCM(11928,11944) = 17808504

Least Common Multiple (LCM) of 11928 and 11944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11928 and 11944. First we will calculate the prime factors of 11928 and 11944.

Prime Factorization of 11928

Prime factors of 11928 are 2, 3, 7, 71. Prime factorization of 11928 in exponential form is:

11928 = 23 × 31 × 71 × 711

Prime Factorization of 11944

Prime factors of 11944 are 2, 1493. Prime factorization of 11944 in exponential form is:

11944 = 23 × 14931

Now multiplying the highest exponent prime factors to calculate the LCM of 11928 and 11944.

LCM(11928,11944) = 23 × 31 × 71 × 711 × 14931
LCM(11928,11944) = 17808504