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What is the Least Common Multiple of 8941 and 8958?

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 8941 and 8958 is 80093478.

LCM(8941,8958) = 80093478

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Least Common Multiple of 8941 and 8958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8941 and 8958, than apply into the LCM equation.

GCF(8941,8958) = 1
LCM(8941,8958) = ( 8941 × 8958) / 1
LCM(8941,8958) = 80093478 / 1
LCM(8941,8958) = 80093478

Least Common Multiple (LCM) of 8941 and 8958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8941 and 8958. First we will calculate the prime factors of 8941 and 8958.

Prime Factorization of 8941

Prime factors of 8941 are 8941. Prime factorization of 8941 in exponential form is:

8941 = 89411

Prime Factorization of 8958

Prime factors of 8958 are 2, 3, 1493. Prime factorization of 8958 in exponential form is:

8958 = 21 × 31 × 14931

Now multiplying the highest exponent prime factors to calculate the LCM of 8941 and 8958.

LCM(8941,8958) = 89411 × 21 × 31 × 14931
LCM(8941,8958) = 80093478