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What is the Least Common Multiple of 17939 and 17952?

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 17939 and 17952 is 322040928.

LCM(17939,17952) = 322040928

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Least Common Multiple of 17939 and 17952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17939 and 17952, than apply into the LCM equation.

GCF(17939,17952) = 1
LCM(17939,17952) = ( 17939 × 17952) / 1
LCM(17939,17952) = 322040928 / 1
LCM(17939,17952) = 322040928

Least Common Multiple (LCM) of 17939 and 17952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17939 and 17952. First we will calculate the prime factors of 17939 and 17952.

Prime Factorization of 17939

Prime factors of 17939 are 17939. Prime factorization of 17939 in exponential form is:

17939 = 179391

Prime Factorization of 17952

Prime factors of 17952 are 2, 3, 11, 17. Prime factorization of 17952 in exponential form is:

17952 = 25 × 31 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 17939 and 17952.

LCM(17939,17952) = 179391 × 25 × 31 × 111 × 171
LCM(17939,17952) = 322040928