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What is the Least Common Multiple of 8927 and 8934?

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 8927 and 8934 is 79753818.

LCM(8927,8934) = 79753818

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Least Common Multiple of 8927 and 8934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8927 and 8934, than apply into the LCM equation.

GCF(8927,8934) = 1
LCM(8927,8934) = ( 8927 × 8934) / 1
LCM(8927,8934) = 79753818 / 1
LCM(8927,8934) = 79753818

Least Common Multiple (LCM) of 8927 and 8934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8927 and 8934. First we will calculate the prime factors of 8927 and 8934.

Prime Factorization of 8927

Prime factors of 8927 are 79, 113. Prime factorization of 8927 in exponential form is:

8927 = 791 × 1131

Prime Factorization of 8934

Prime factors of 8934 are 2, 3, 1489. Prime factorization of 8934 in exponential form is:

8934 = 21 × 31 × 14891

Now multiplying the highest exponent prime factors to calculate the LCM of 8927 and 8934.

LCM(8927,8934) = 791 × 1131 × 21 × 31 × 14891
LCM(8927,8934) = 79753818