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What is the Least Common Multiple of 8947 and 8951?

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 8947 and 8951 is 80084597.

LCM(8947,8951) = 80084597

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Least Common Multiple of 8947 and 8951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8947 and 8951, than apply into the LCM equation.

GCF(8947,8951) = 1
LCM(8947,8951) = ( 8947 × 8951) / 1
LCM(8947,8951) = 80084597 / 1
LCM(8947,8951) = 80084597

Least Common Multiple (LCM) of 8947 and 8951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8947 and 8951. First we will calculate the prime factors of 8947 and 8951.

Prime Factorization of 8947

Prime factors of 8947 are 23, 389. Prime factorization of 8947 in exponential form is:

8947 = 231 × 3891

Prime Factorization of 8951

Prime factors of 8951 are 8951. Prime factorization of 8951 in exponential form is:

8951 = 89511

Now multiplying the highest exponent prime factors to calculate the LCM of 8947 and 8951.

LCM(8947,8951) = 231 × 3891 × 89511
LCM(8947,8951) = 80084597