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What is the Least Common Multiple of 7659 and 7670?

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 7670 is 58744530.

LCM(7659,7670) = 58744530

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Least Common Multiple of 7659 and 7670 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 7670, than apply into the LCM equation.

GCF(7659,7670) = 1
LCM(7659,7670) = ( 7659 × 7670) / 1
LCM(7659,7670) = 58744530 / 1
LCM(7659,7670) = 58744530

Least Common Multiple (LCM) of 7659 and 7670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7659 and 7670. First we will calculate the prime factors of 7659 and 7670.

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 7670

Prime factors of 7670 are 2, 5, 13, 59. Prime factorization of 7670 in exponential form is:

7670 = 21 × 51 × 131 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 7659 and 7670.

LCM(7659,7670) = 32 × 231 × 371 × 21 × 51 × 131 × 591
LCM(7659,7670) = 58744530