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What is the Least Common Multiple of 94490 and 94501?

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 94501 is 811763590.

LCM(94490,94501) = 811763590

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Least Common Multiple of 94490 and 94501 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 94501, than apply into the LCM equation.

GCF(94490,94501) = 11
LCM(94490,94501) = ( 94490 × 94501) / 11
LCM(94490,94501) = 8929399490 / 11
LCM(94490,94501) = 811763590

Least Common Multiple (LCM) of 94490 and 94501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94490 and 94501. First we will calculate the prime factors of 94490 and 94501.

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 94501

Prime factors of 94501 are 11, 71. Prime factorization of 94501 in exponential form is:

94501 = 113 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 94490 and 94501.

LCM(94490,94501) = 21 × 51 × 113 × 8591 × 711
LCM(94490,94501) = 811763590