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What is the Least Common Multiple of 15957 and 15970?

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 15957 and 15970 is 254833290.

LCM(15957,15970) = 254833290

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Least Common Multiple of 15957 and 15970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15957 and 15970, than apply into the LCM equation.

GCF(15957,15970) = 1
LCM(15957,15970) = ( 15957 × 15970) / 1
LCM(15957,15970) = 254833290 / 1
LCM(15957,15970) = 254833290

Least Common Multiple (LCM) of 15957 and 15970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15957 and 15970. First we will calculate the prime factors of 15957 and 15970.

Prime Factorization of 15957

Prime factors of 15957 are 3, 197. Prime factorization of 15957 in exponential form is:

15957 = 34 × 1971

Prime Factorization of 15970

Prime factors of 15970 are 2, 5, 1597. Prime factorization of 15970 in exponential form is:

15970 = 21 × 51 × 15971

Now multiplying the highest exponent prime factors to calculate the LCM of 15957 and 15970.

LCM(15957,15970) = 34 × 1971 × 21 × 51 × 15971
LCM(15957,15970) = 254833290