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What is the Least Common Multiple of 6252 and 6271?

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 6271 is 39206292.

LCM(6252,6271) = 39206292

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Least Common Multiple of 6252 and 6271 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 6271, than apply into the LCM equation.

GCF(6252,6271) = 1
LCM(6252,6271) = ( 6252 × 6271) / 1
LCM(6252,6271) = 39206292 / 1
LCM(6252,6271) = 39206292

Least Common Multiple (LCM) of 6252 and 6271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6252 and 6271. First we will calculate the prime factors of 6252 and 6271.

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 6271

Prime factors of 6271 are 6271. Prime factorization of 6271 in exponential form is:

6271 = 62711

Now multiplying the highest exponent prime factors to calculate the LCM of 6252 and 6271.

LCM(6252,6271) = 22 × 31 × 5211 × 62711
LCM(6252,6271) = 39206292