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What is the Least Common Multiple of 76978 and 76986?

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 76978 and 76986 is 2963114154.

LCM(76978,76986) = 2963114154

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Least Common Multiple of 76978 and 76986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76978 and 76986, than apply into the LCM equation.

GCF(76978,76986) = 2
LCM(76978,76986) = ( 76978 × 76986) / 2
LCM(76978,76986) = 5926228308 / 2
LCM(76978,76986) = 2963114154

Least Common Multiple (LCM) of 76978 and 76986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76978 and 76986. First we will calculate the prime factors of 76978 and 76986.

Prime Factorization of 76978

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

76978 = 21 × 111 × 34991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 76978 and 76986.

LCM(76978,76986) = 21 × 111 × 34991 × 32 × 71 × 131 × 471
LCM(76978,76986) = 2963114154