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What is the Least Common Multiple of 7539 and 7557?

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 7539 and 7557 is 18990741.

LCM(7539,7557) = 18990741

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Least Common Multiple of 7539 and 7557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7539 and 7557, than apply into the LCM equation.

GCF(7539,7557) = 3
LCM(7539,7557) = ( 7539 × 7557) / 3
LCM(7539,7557) = 56972223 / 3
LCM(7539,7557) = 18990741

Least Common Multiple (LCM) of 7539 and 7557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7539 and 7557. First we will calculate the prime factors of 7539 and 7557.

Prime Factorization of 7539

Prime factors of 7539 are 3, 7, 359. Prime factorization of 7539 in exponential form is:

7539 = 31 × 71 × 3591

Prime Factorization of 7557

Prime factors of 7557 are 3, 11, 229. Prime factorization of 7557 in exponential form is:

7557 = 31 × 111 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 7539 and 7557.

LCM(7539,7557) = 31 × 71 × 3591 × 111 × 2291
LCM(7539,7557) = 18990741