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What is the Least Common Multiple of 7231 and 7244?

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 7231 and 7244 is 52381364.

LCM(7231,7244) = 52381364

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Least Common Multiple of 7231 and 7244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7231 and 7244, than apply into the LCM equation.

GCF(7231,7244) = 1
LCM(7231,7244) = ( 7231 × 7244) / 1
LCM(7231,7244) = 52381364 / 1
LCM(7231,7244) = 52381364

Least Common Multiple (LCM) of 7231 and 7244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7231 and 7244. First we will calculate the prime factors of 7231 and 7244.

Prime Factorization of 7231

Prime factors of 7231 are 7, 1033. Prime factorization of 7231 in exponential form is:

7231 = 71 × 10331

Prime Factorization of 7244

Prime factors of 7244 are 2, 1811. Prime factorization of 7244 in exponential form is:

7244 = 22 × 18111

Now multiplying the highest exponent prime factors to calculate the LCM of 7231 and 7244.

LCM(7231,7244) = 71 × 10331 × 22 × 18111
LCM(7231,7244) = 52381364