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What is the Least Common Multiple of 8949 and 8963?

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 8949 and 8963 is 80209887.

LCM(8949,8963) = 80209887

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Least Common Multiple of 8949 and 8963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8949 and 8963, than apply into the LCM equation.

GCF(8949,8963) = 1
LCM(8949,8963) = ( 8949 × 8963) / 1
LCM(8949,8963) = 80209887 / 1
LCM(8949,8963) = 80209887

Least Common Multiple (LCM) of 8949 and 8963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8949 and 8963. First we will calculate the prime factors of 8949 and 8963.

Prime Factorization of 8949

Prime factors of 8949 are 3, 19, 157. Prime factorization of 8949 in exponential form is:

8949 = 31 × 191 × 1571

Prime Factorization of 8963

Prime factors of 8963 are 8963. Prime factorization of 8963 in exponential form is:

8963 = 89631

Now multiplying the highest exponent prime factors to calculate the LCM of 8949 and 8963.

LCM(8949,8963) = 31 × 191 × 1571 × 89631
LCM(8949,8963) = 80209887