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What is the Least Common Multiple of 7908 and 7917?

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 7908 and 7917 is 20869212.

LCM(7908,7917) = 20869212

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Least Common Multiple of 7908 and 7917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7908 and 7917, than apply into the LCM equation.

GCF(7908,7917) = 3
LCM(7908,7917) = ( 7908 × 7917) / 3
LCM(7908,7917) = 62607636 / 3
LCM(7908,7917) = 20869212

Least Common Multiple (LCM) of 7908 and 7917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7908 and 7917. First we will calculate the prime factors of 7908 and 7917.

Prime Factorization of 7908

Prime factors of 7908 are 2, 3, 659. Prime factorization of 7908 in exponential form is:

7908 = 22 × 31 × 6591

Prime Factorization of 7917

Prime factors of 7917 are 3, 7, 13, 29. Prime factorization of 7917 in exponential form is:

7917 = 31 × 71 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 7908 and 7917.

LCM(7908,7917) = 22 × 31 × 6591 × 71 × 131 × 291
LCM(7908,7917) = 20869212