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What is the Least Common Multiple of 7659 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 7659 and 7678 is 58805802.

LCM(7659,7678) = 58805802

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Least Common Multiple of 7659 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 7659 and 7678, than apply into the LCM equation.

GCF(7659,7678) = 1
LCM(7659,7678) = ( 7659 × 7678) / 1
LCM(7659,7678) = 58805802 / 1
LCM(7659,7678) = 58805802

Least Common Multiple (LCM) of 7659 and 7678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7659 and 7678. First we will calculate the prime factors of 7659 and 7678.

Prime Factorization of 7659

Prime factors of 7659 are 3, 23, 37. Prime factorization of 7659 in exponential form is:

7659 = 32 × 231 × 371

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 7659 and 7678.

LCM(7659,7678) = 32 × 231 × 371 × 21 × 111 × 3491
LCM(7659,7678) = 58805802