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What is the Least Common Multiple of 76979 and 76984?

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 76979 and 76984 is 5926151336.

LCM(76979,76984) = 5926151336

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Least Common Multiple of 76979 and 76984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76979 and 76984, than apply into the LCM equation.

GCF(76979,76984) = 1
LCM(76979,76984) = ( 76979 × 76984) / 1
LCM(76979,76984) = 5926151336 / 1
LCM(76979,76984) = 5926151336

Least Common Multiple (LCM) of 76979 and 76984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76979 and 76984. First we will calculate the prime factors of 76979 and 76984.

Prime Factorization of 76979

Prime factors of 76979 are 7, 1571. Prime factorization of 76979 in exponential form is:

76979 = 72 × 15711

Prime Factorization of 76984

Prime factors of 76984 are 2, 9623. Prime factorization of 76984 in exponential form is:

76984 = 23 × 96231

Now multiplying the highest exponent prime factors to calculate the LCM of 76979 and 76984.

LCM(76979,76984) = 72 × 15711 × 23 × 96231
LCM(76979,76984) = 5926151336