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What is the Least Common Multiple of 9252 and 9257?

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 9252 and 9257 is 85645764.

LCM(9252,9257) = 85645764

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Least Common Multiple of 9252 and 9257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9252 and 9257, than apply into the LCM equation.

GCF(9252,9257) = 1
LCM(9252,9257) = ( 9252 × 9257) / 1
LCM(9252,9257) = 85645764 / 1
LCM(9252,9257) = 85645764

Least Common Multiple (LCM) of 9252 and 9257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9252 and 9257. First we will calculate the prime factors of 9252 and 9257.

Prime Factorization of 9252

Prime factors of 9252 are 2, 3, 257. Prime factorization of 9252 in exponential form is:

9252 = 22 × 32 × 2571

Prime Factorization of 9257

Prime factors of 9257 are 9257. Prime factorization of 9257 in exponential form is:

9257 = 92571

Now multiplying the highest exponent prime factors to calculate the LCM of 9252 and 9257.

LCM(9252,9257) = 22 × 32 × 2571 × 92571
LCM(9252,9257) = 85645764