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What is the Least Common Multiple of 7671 and 7678?

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 7671 and 7678 is 58897938.

LCM(7671,7678) = 58897938

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Least Common Multiple of 7671 and 7678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7671 and 7678, than apply into the LCM equation.

GCF(7671,7678) = 1
LCM(7671,7678) = ( 7671 × 7678) / 1
LCM(7671,7678) = 58897938 / 1
LCM(7671,7678) = 58897938

Least Common Multiple (LCM) of 7671 and 7678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7671 and 7678. First we will calculate the prime factors of 7671 and 7678.

Prime Factorization of 7671

Prime factors of 7671 are 3, 2557. Prime factorization of 7671 in exponential form is:

7671 = 31 × 25571

Prime Factorization of 7678

Prime factors of 7678 are 2, 11, 349. Prime factorization of 7678 in exponential form is:

7678 = 21 × 111 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 7671 and 7678.

LCM(7671,7678) = 31 × 25571 × 21 × 111 × 3491
LCM(7671,7678) = 58897938