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What is the Least Common Multiple of 11964 and 11968?

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 11964 and 11968 is 35796288.

LCM(11964,11968) = 35796288

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Least Common Multiple of 11964 and 11968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11964 and 11968, than apply into the LCM equation.

GCF(11964,11968) = 4
LCM(11964,11968) = ( 11964 × 11968) / 4
LCM(11964,11968) = 143185152 / 4
LCM(11964,11968) = 35796288

Least Common Multiple (LCM) of 11964 and 11968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11964 and 11968. First we will calculate the prime factors of 11964 and 11968.

Prime Factorization of 11964

Prime factors of 11964 are 2, 3, 997. Prime factorization of 11964 in exponential form is:

11964 = 22 × 31 × 9971

Prime Factorization of 11968

Prime factors of 11968 are 2, 11, 17. Prime factorization of 11968 in exponential form is:

11968 = 26 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 11964 and 11968.

LCM(11964,11968) = 26 × 31 × 9971 × 111 × 171
LCM(11964,11968) = 35796288