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What is the Least Common Multiple of 8931 and 8945?

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 8931 and 8945 is 79887795.

LCM(8931,8945) = 79887795

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Least Common Multiple of 8931 and 8945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8931 and 8945, than apply into the LCM equation.

GCF(8931,8945) = 1
LCM(8931,8945) = ( 8931 × 8945) / 1
LCM(8931,8945) = 79887795 / 1
LCM(8931,8945) = 79887795

Least Common Multiple (LCM) of 8931 and 8945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8931 and 8945. First we will calculate the prime factors of 8931 and 8945.

Prime Factorization of 8931

Prime factors of 8931 are 3, 13, 229. Prime factorization of 8931 in exponential form is:

8931 = 31 × 131 × 2291

Prime Factorization of 8945

Prime factors of 8945 are 5, 1789. Prime factorization of 8945 in exponential form is:

8945 = 51 × 17891

Now multiplying the highest exponent prime factors to calculate the LCM of 8931 and 8945.

LCM(8931,8945) = 31 × 131 × 2291 × 51 × 17891
LCM(8931,8945) = 79887795