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What is the Least Common Multiple of 7908 and 7920?

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 7920 is 5219280.

LCM(7908,7920) = 5219280

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Least Common Multiple of 7908 and 7920 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 7920, than apply into the LCM equation.

GCF(7908,7920) = 12
LCM(7908,7920) = ( 7908 × 7920) / 12
LCM(7908,7920) = 62631360 / 12
LCM(7908,7920) = 5219280

Least Common Multiple (LCM) of 7908 and 7920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7908 and 7920. First we will calculate the prime factors of 7908 and 7920.

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 7920

Prime factors of 7920 are 2, 3, 5, 11. Prime factorization of 7920 in exponential form is:

7920 = 24 × 32 × 51 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 7908 and 7920.

LCM(7908,7920) = 24 × 32 × 6591 × 51 × 111
LCM(7908,7920) = 5219280