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What is the Least Common Multiple of 76986 and 76998?

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 76998 is 987961338.

LCM(76986,76998) = 987961338

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Least Common Multiple of 76986 and 76998 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 76998, than apply into the LCM equation.

GCF(76986,76998) = 6
LCM(76986,76998) = ( 76986 × 76998) / 6
LCM(76986,76998) = 5927768028 / 6
LCM(76986,76998) = 987961338

Least Common Multiple (LCM) of 76986 and 76998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76986 and 76998. First we will calculate the prime factors of 76986 and 76998.

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 76998

Prime factors of 76998 are 2, 3, 41, 313. Prime factorization of 76998 in exponential form is:

76998 = 21 × 31 × 411 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 76986 and 76998.

LCM(76986,76998) = 21 × 32 × 71 × 131 × 471 × 411 × 3131
LCM(76986,76998) = 987961338