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What is the Least Common Multiple of 94974 and 94986?

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 94974 and 94986 is 1503533394.

LCM(94974,94986) = 1503533394

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Least Common Multiple of 94974 and 94986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94974 and 94986, than apply into the LCM equation.

GCF(94974,94986) = 6
LCM(94974,94986) = ( 94974 × 94986) / 6
LCM(94974,94986) = 9021200364 / 6
LCM(94974,94986) = 1503533394

Least Common Multiple (LCM) of 94974 and 94986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94974 and 94986. First we will calculate the prime factors of 94974 and 94986.

Prime Factorization of 94974

Prime factors of 94974 are 2, 3, 11, 1439. Prime factorization of 94974 in exponential form is:

94974 = 21 × 31 × 111 × 14391

Prime Factorization of 94986

Prime factors of 94986 are 2, 3, 1759. Prime factorization of 94986 in exponential form is:

94986 = 21 × 33 × 17591

Now multiplying the highest exponent prime factors to calculate the LCM of 94974 and 94986.

LCM(94974,94986) = 21 × 33 × 111 × 14391 × 17591
LCM(94974,94986) = 1503533394