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What is the Least Common Multiple of 94598 and 94609?

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 94598 and 94609 is 8949822182.

LCM(94598,94609) = 8949822182

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Least Common Multiple of 94598 and 94609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94598 and 94609, than apply into the LCM equation.

GCF(94598,94609) = 1
LCM(94598,94609) = ( 94598 × 94609) / 1
LCM(94598,94609) = 8949822182 / 1
LCM(94598,94609) = 8949822182

Least Common Multiple (LCM) of 94598 and 94609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94598 and 94609. First we will calculate the prime factors of 94598 and 94609.

Prime Factorization of 94598

Prime factors of 94598 are 2, 7, 29, 233. Prime factorization of 94598 in exponential form is:

94598 = 21 × 71 × 291 × 2331

Prime Factorization of 94609

Prime factors of 94609 are 37, 2557. Prime factorization of 94609 in exponential form is:

94609 = 371 × 25571

Now multiplying the highest exponent prime factors to calculate the LCM of 94598 and 94609.

LCM(94598,94609) = 21 × 71 × 291 × 2331 × 371 × 25571
LCM(94598,94609) = 8949822182