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What is the Least Common Multiple of 94489 and 94503?

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 94489 and 94503 is 8929493967.

LCM(94489,94503) = 8929493967

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Least Common Multiple of 94489 and 94503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94489 and 94503, than apply into the LCM equation.

GCF(94489,94503) = 1
LCM(94489,94503) = ( 94489 × 94503) / 1
LCM(94489,94503) = 8929493967 / 1
LCM(94489,94503) = 8929493967

Least Common Multiple (LCM) of 94489 and 94503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94489 and 94503. First we will calculate the prime factors of 94489 and 94503.

Prime Factorization of 94489

Prime factors of 94489 are 61, 1549. Prime factorization of 94489 in exponential form is:

94489 = 611 × 15491

Prime Factorization of 94503

Prime factors of 94503 are 3, 17, 109. Prime factorization of 94503 in exponential form is:

94503 = 31 × 172 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 94489 and 94503.

LCM(94489,94503) = 611 × 15491 × 31 × 172 × 1091
LCM(94489,94503) = 8929493967