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What is the Least Common Multiple of 94490 and 94508?

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 94490 and 94508 is 4465030460.

LCM(94490,94508) = 4465030460

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Least Common Multiple of 94490 and 94508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94490 and 94508, than apply into the LCM equation.

GCF(94490,94508) = 2
LCM(94490,94508) = ( 94490 × 94508) / 2
LCM(94490,94508) = 8930060920 / 2
LCM(94490,94508) = 4465030460

Least Common Multiple (LCM) of 94490 and 94508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94490 and 94508. First we will calculate the prime factors of 94490 and 94508.

Prime Factorization of 94490

Prime factors of 94490 are 2, 5, 11, 859. Prime factorization of 94490 in exponential form is:

94490 = 21 × 51 × 111 × 8591

Prime Factorization of 94508

Prime factors of 94508 are 2, 23627. Prime factorization of 94508 in exponential form is:

94508 = 22 × 236271

Now multiplying the highest exponent prime factors to calculate the LCM of 94490 and 94508.

LCM(94490,94508) = 22 × 51 × 111 × 8591 × 236271
LCM(94490,94508) = 4465030460