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What is the Least Common Multiple of 8943 and 8957?

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 8943 and 8957 is 80102451.

LCM(8943,8957) = 80102451

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Least Common Multiple of 8943 and 8957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8943 and 8957, than apply into the LCM equation.

GCF(8943,8957) = 1
LCM(8943,8957) = ( 8943 × 8957) / 1
LCM(8943,8957) = 80102451 / 1
LCM(8943,8957) = 80102451

Least Common Multiple (LCM) of 8943 and 8957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8943 and 8957. First we will calculate the prime factors of 8943 and 8957.

Prime Factorization of 8943

Prime factors of 8943 are 3, 11, 271. Prime factorization of 8943 in exponential form is:

8943 = 31 × 111 × 2711

Prime Factorization of 8957

Prime factors of 8957 are 13, 53. Prime factorization of 8957 in exponential form is:

8957 = 132 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 8943 and 8957.

LCM(8943,8957) = 31 × 111 × 2711 × 132 × 531
LCM(8943,8957) = 80102451