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What is the Least Common Multiple of 92252 and 92257?

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 92252 and 92257 is 8510892764.

LCM(92252,92257) = 8510892764

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Least Common Multiple of 92252 and 92257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92252 and 92257, than apply into the LCM equation.

GCF(92252,92257) = 1
LCM(92252,92257) = ( 92252 × 92257) / 1
LCM(92252,92257) = 8510892764 / 1
LCM(92252,92257) = 8510892764

Least Common Multiple (LCM) of 92252 and 92257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92252 and 92257. First we will calculate the prime factors of 92252 and 92257.

Prime Factorization of 92252

Prime factors of 92252 are 2, 23063. Prime factorization of 92252 in exponential form is:

92252 = 22 × 230631

Prime Factorization of 92257

Prime factors of 92257 are 11, 8387. Prime factorization of 92257 in exponential form is:

92257 = 111 × 83871

Now multiplying the highest exponent prime factors to calculate the LCM of 92252 and 92257.

LCM(92252,92257) = 22 × 230631 × 111 × 83871
LCM(92252,92257) = 8510892764