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What is the Least Common Multiple of 9237 and 9252?

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 9237 and 9252 is 28486908.

LCM(9237,9252) = 28486908

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Least Common Multiple of 9237 and 9252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9237 and 9252, than apply into the LCM equation.

GCF(9237,9252) = 3
LCM(9237,9252) = ( 9237 × 9252) / 3
LCM(9237,9252) = 85460724 / 3
LCM(9237,9252) = 28486908

Least Common Multiple (LCM) of 9237 and 9252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9237 and 9252. First we will calculate the prime factors of 9237 and 9252.

Prime Factorization of 9237

Prime factors of 9237 are 3, 3079. Prime factorization of 9237 in exponential form is:

9237 = 31 × 30791

Prime Factorization of 9252

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

9252 = 22 × 32 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 9237 and 9252.

LCM(9237,9252) = 32 × 30791 × 22 × 2571
LCM(9237,9252) = 28486908