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What is the Least Common Multiple of 8977 and 8996?

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 8977 and 8996 is 80757092.

LCM(8977,8996) = 80757092

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Least Common Multiple of 8977 and 8996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8977 and 8996, than apply into the LCM equation.

GCF(8977,8996) = 1
LCM(8977,8996) = ( 8977 × 8996) / 1
LCM(8977,8996) = 80757092 / 1
LCM(8977,8996) = 80757092

Least Common Multiple (LCM) of 8977 and 8996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8977 and 8996. First we will calculate the prime factors of 8977 and 8996.

Prime Factorization of 8977

Prime factors of 8977 are 47, 191. Prime factorization of 8977 in exponential form is:

8977 = 471 × 1911

Prime Factorization of 8996

Prime factors of 8996 are 2, 13, 173. Prime factorization of 8996 in exponential form is:

8996 = 22 × 131 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 8977 and 8996.

LCM(8977,8996) = 471 × 1911 × 22 × 131 × 1731
LCM(8977,8996) = 80757092