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What is the Least Common Multiple of 6252 and 6257?

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 6252 and 6257 is 39118764.

LCM(6252,6257) = 39118764

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Least Common Multiple of 6252 and 6257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6252 and 6257, than apply into the LCM equation.

GCF(6252,6257) = 1
LCM(6252,6257) = ( 6252 × 6257) / 1
LCM(6252,6257) = 39118764 / 1
LCM(6252,6257) = 39118764

Least Common Multiple (LCM) of 6252 and 6257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6252 and 6257. First we will calculate the prime factors of 6252 and 6257.

Prime Factorization of 6252

Prime factors of 6252 are 2, 3, 521. Prime factorization of 6252 in exponential form is:

6252 = 22 × 31 × 5211

Prime Factorization of 6257

Prime factors of 6257 are 6257. Prime factorization of 6257 in exponential form is:

6257 = 62571

Now multiplying the highest exponent prime factors to calculate the LCM of 6252 and 6257.

LCM(6252,6257) = 22 × 31 × 5211 × 62571
LCM(6252,6257) = 39118764