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What is the Least Common Multiple of 76986 and 76990?

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 76986 and 76990 is 2963576070.

LCM(76986,76990) = 2963576070

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Least Common Multiple of 76986 and 76990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76986 and 76990, than apply into the LCM equation.

GCF(76986,76990) = 2
LCM(76986,76990) = ( 76986 × 76990) / 2
LCM(76986,76990) = 5927152140 / 2
LCM(76986,76990) = 2963576070

Least Common Multiple (LCM) of 76986 and 76990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76986 and 76990. First we will calculate the prime factors of 76986 and 76990.

Prime Factorization of 76986

Prime factors of 76986 are 2, 3, 7, 13, 47. Prime factorization of 76986 in exponential form is:

76986 = 21 × 32 × 71 × 131 × 471

Prime Factorization of 76990

Prime factors of 76990 are 2, 5, 7699. Prime factorization of 76990 in exponential form is:

76990 = 21 × 51 × 76991

Now multiplying the highest exponent prime factors to calculate the LCM of 76986 and 76990.

LCM(76986,76990) = 21 × 32 × 71 × 131 × 471 × 51 × 76991
LCM(76986,76990) = 2963576070