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What is the Least Common Multiple of 7655 and 7674?

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 7655 and 7674 is 58744470.

LCM(7655,7674) = 58744470

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Least Common Multiple of 7655 and 7674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7655 and 7674, than apply into the LCM equation.

GCF(7655,7674) = 1
LCM(7655,7674) = ( 7655 × 7674) / 1
LCM(7655,7674) = 58744470 / 1
LCM(7655,7674) = 58744470

Least Common Multiple (LCM) of 7655 and 7674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7655 and 7674. First we will calculate the prime factors of 7655 and 7674.

Prime Factorization of 7655

Prime factors of 7655 are 5, 1531. Prime factorization of 7655 in exponential form is:

7655 = 51 × 15311

Prime Factorization of 7674

Prime factors of 7674 are 2, 3, 1279. Prime factorization of 7674 in exponential form is:

7674 = 21 × 31 × 12791

Now multiplying the highest exponent prime factors to calculate the LCM of 7655 and 7674.

LCM(7655,7674) = 51 × 15311 × 21 × 31 × 12791
LCM(7655,7674) = 58744470