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What is the Least Common Multiple of 9237 and 9250?

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 9250 is 85442250.

LCM(9237,9250) = 85442250

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Least Common Multiple of 9237 and 9250 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 9250, than apply into the LCM equation.

GCF(9237,9250) = 1
LCM(9237,9250) = ( 9237 × 9250) / 1
LCM(9237,9250) = 85442250 / 1
LCM(9237,9250) = 85442250

Least Common Multiple (LCM) of 9237 and 9250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9237 and 9250. First we will calculate the prime factors of 9237 and 9250.

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 9250

Prime factors of 9250 are 2, 5, 37. Prime factorization of 9250 in exponential form is:

9250 = 21 × 53 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 9237 and 9250.

LCM(9237,9250) = 31 × 30791 × 21 × 53 × 371
LCM(9237,9250) = 85442250