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What is the Least Common Multiple of 94514 and 94518?

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 94514 and 94518 is 4466637126.

LCM(94514,94518) = 4466637126

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Least Common Multiple of 94514 and 94518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94514 and 94518, than apply into the LCM equation.

GCF(94514,94518) = 2
LCM(94514,94518) = ( 94514 × 94518) / 2
LCM(94514,94518) = 8933274252 / 2
LCM(94514,94518) = 4466637126

Least Common Multiple (LCM) of 94514 and 94518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94514 and 94518. First we will calculate the prime factors of 94514 and 94518.

Prime Factorization of 94514

Prime factors of 94514 are 2, 7, 43, 157. Prime factorization of 94514 in exponential form is:

94514 = 21 × 71 × 431 × 1571

Prime Factorization of 94518

Prime factors of 94518 are 2, 3, 59, 89. Prime factorization of 94518 in exponential form is:

94518 = 21 × 32 × 591 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 94514 and 94518.

LCM(94514,94518) = 21 × 71 × 431 × 1571 × 32 × 591 × 891
LCM(94514,94518) = 4466637126