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What is the Least Common Multiple of 7651 and 7666?

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 7651 and 7666 is 58652566.

LCM(7651,7666) = 58652566

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Least Common Multiple of 7651 and 7666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7651 and 7666, than apply into the LCM equation.

GCF(7651,7666) = 1
LCM(7651,7666) = ( 7651 × 7666) / 1
LCM(7651,7666) = 58652566 / 1
LCM(7651,7666) = 58652566

Least Common Multiple (LCM) of 7651 and 7666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7651 and 7666. First we will calculate the prime factors of 7651 and 7666.

Prime Factorization of 7651

Prime factors of 7651 are 7, 1093. Prime factorization of 7651 in exponential form is:

7651 = 71 × 10931

Prime Factorization of 7666

Prime factors of 7666 are 2, 3833. Prime factorization of 7666 in exponential form is:

7666 = 21 × 38331

Now multiplying the highest exponent prime factors to calculate the LCM of 7651 and 7666.

LCM(7651,7666) = 71 × 10931 × 21 × 38331
LCM(7651,7666) = 58652566