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What is the Least Common Multiple of 17957 and 17964?

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 17957 and 17964 is 322579548.

LCM(17957,17964) = 322579548

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Least Common Multiple of 17957 and 17964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17957 and 17964, than apply into the LCM equation.

GCF(17957,17964) = 1
LCM(17957,17964) = ( 17957 × 17964) / 1
LCM(17957,17964) = 322579548 / 1
LCM(17957,17964) = 322579548

Least Common Multiple (LCM) of 17957 and 17964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17957 and 17964. First we will calculate the prime factors of 17957 and 17964.

Prime Factorization of 17957

Prime factors of 17957 are 17957. Prime factorization of 17957 in exponential form is:

17957 = 179571

Prime Factorization of 17964

Prime factors of 17964 are 2, 3, 499. Prime factorization of 17964 in exponential form is:

17964 = 22 × 32 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 17957 and 17964.

LCM(17957,17964) = 179571 × 22 × 32 × 4991
LCM(17957,17964) = 322579548