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What is the Least Common Multiple of 7976 and 7996?

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 7976 and 7996 is 15944024.

LCM(7976,7996) = 15944024

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Least Common Multiple of 7976 and 7996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7976 and 7996, than apply into the LCM equation.

GCF(7976,7996) = 4
LCM(7976,7996) = ( 7976 × 7996) / 4
LCM(7976,7996) = 63776096 / 4
LCM(7976,7996) = 15944024

Least Common Multiple (LCM) of 7976 and 7996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7976 and 7996. First we will calculate the prime factors of 7976 and 7996.

Prime Factorization of 7976

Prime factors of 7976 are 2, 997. Prime factorization of 7976 in exponential form is:

7976 = 23 × 9971

Prime Factorization of 7996

Prime factors of 7996 are 2, 1999. Prime factorization of 7996 in exponential form is:

7996 = 22 × 19991

Now multiplying the highest exponent prime factors to calculate the LCM of 7976 and 7996.

LCM(7976,7996) = 23 × 9971 × 19991
LCM(7976,7996) = 15944024