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What is the Least Common Multiple of 23951 and 23957?

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 23951 and 23957 is 573794107.

LCM(23951,23957) = 573794107

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Least Common Multiple of 23951 and 23957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23951 and 23957, than apply into the LCM equation.

GCF(23951,23957) = 1
LCM(23951,23957) = ( 23951 × 23957) / 1
LCM(23951,23957) = 573794107 / 1
LCM(23951,23957) = 573794107

Least Common Multiple (LCM) of 23951 and 23957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23951 and 23957. First we will calculate the prime factors of 23951 and 23957.

Prime Factorization of 23951

Prime factors of 23951 are 43, 557. Prime factorization of 23951 in exponential form is:

23951 = 431 × 5571

Prime Factorization of 23957

Prime factors of 23957 are 23957. Prime factorization of 23957 in exponential form is:

23957 = 239571

Now multiplying the highest exponent prime factors to calculate the LCM of 23951 and 23957.

LCM(23951,23957) = 431 × 5571 × 239571
LCM(23951,23957) = 573794107