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What is the Least Common Multiple of 7662 and 7676?

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 7662 and 7676 is 29406756.

LCM(7662,7676) = 29406756

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Least Common Multiple of 7662 and 7676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7662 and 7676, than apply into the LCM equation.

GCF(7662,7676) = 2
LCM(7662,7676) = ( 7662 × 7676) / 2
LCM(7662,7676) = 58813512 / 2
LCM(7662,7676) = 29406756

Least Common Multiple (LCM) of 7662 and 7676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7662 and 7676. First we will calculate the prime factors of 7662 and 7676.

Prime Factorization of 7662

Prime factors of 7662 are 2, 3, 1277. Prime factorization of 7662 in exponential form is:

7662 = 21 × 31 × 12771

Prime Factorization of 7676

Prime factors of 7676 are 2, 19, 101. Prime factorization of 7676 in exponential form is:

7676 = 22 × 191 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 7662 and 7676.

LCM(7662,7676) = 22 × 31 × 12771 × 191 × 1011
LCM(7662,7676) = 29406756