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What is the Least Common Multiple of 76973 and 76978?

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 76973 and 76978 is 5925227594.

LCM(76973,76978) = 5925227594

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Least Common Multiple of 76973 and 76978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76973 and 76978, than apply into the LCM equation.

GCF(76973,76978) = 1
LCM(76973,76978) = ( 76973 × 76978) / 1
LCM(76973,76978) = 5925227594 / 1
LCM(76973,76978) = 5925227594

Least Common Multiple (LCM) of 76973 and 76978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76973 and 76978. First we will calculate the prime factors of 76973 and 76978.

Prime Factorization of 76973

Prime factors of 76973 are 13, 31, 191. Prime factorization of 76973 in exponential form is:

76973 = 131 × 311 × 1911

Prime Factorization of 76978

Prime factors of 76978 are 2, 11, 3499. Prime factorization of 76978 in exponential form is:

76978 = 21 × 111 × 34991

Now multiplying the highest exponent prime factors to calculate the LCM of 76973 and 76978.

LCM(76973,76978) = 131 × 311 × 1911 × 21 × 111 × 34991
LCM(76973,76978) = 5925227594