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What is the Least Common Multiple of 7227 and 7239?

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 7227 and 7239 is 17438751.

LCM(7227,7239) = 17438751

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Least Common Multiple of 7227 and 7239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7227 and 7239, than apply into the LCM equation.

GCF(7227,7239) = 3
LCM(7227,7239) = ( 7227 × 7239) / 3
LCM(7227,7239) = 52316253 / 3
LCM(7227,7239) = 17438751

Least Common Multiple (LCM) of 7227 and 7239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7227 and 7239. First we will calculate the prime factors of 7227 and 7239.

Prime Factorization of 7227

Prime factors of 7227 are 3, 11, 73. Prime factorization of 7227 in exponential form is:

7227 = 32 × 111 × 731

Prime Factorization of 7239

Prime factors of 7239 are 3, 19, 127. Prime factorization of 7239 in exponential form is:

7239 = 31 × 191 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 7227 and 7239.

LCM(7227,7239) = 32 × 111 × 731 × 191 × 1271
LCM(7227,7239) = 17438751