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What is the Least Common Multiple of 7237 and 7253?

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 7237 and 7253 is 52489961.

LCM(7237,7253) = 52489961

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Least Common Multiple of 7237 and 7253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7237 and 7253, than apply into the LCM equation.

GCF(7237,7253) = 1
LCM(7237,7253) = ( 7237 × 7253) / 1
LCM(7237,7253) = 52489961 / 1
LCM(7237,7253) = 52489961

Least Common Multiple (LCM) of 7237 and 7253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7237 and 7253. First we will calculate the prime factors of 7237 and 7253.

Prime Factorization of 7237

Prime factors of 7237 are 7237. Prime factorization of 7237 in exponential form is:

7237 = 72371

Prime Factorization of 7253

Prime factors of 7253 are 7253. Prime factorization of 7253 in exponential form is:

7253 = 72531

Now multiplying the highest exponent prime factors to calculate the LCM of 7237 and 7253.

LCM(7237,7253) = 72371 × 72531
LCM(7237,7253) = 52489961