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What is the Least Common Multiple of 90737 and 90751?

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 90737 and 90751 is 8234473487.

LCM(90737,90751) = 8234473487

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Least Common Multiple of 90737 and 90751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90737 and 90751, than apply into the LCM equation.

GCF(90737,90751) = 1
LCM(90737,90751) = ( 90737 × 90751) / 1
LCM(90737,90751) = 8234473487 / 1
LCM(90737,90751) = 8234473487

Least Common Multiple (LCM) of 90737 and 90751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90737 and 90751. First we will calculate the prime factors of 90737 and 90751.

Prime Factorization of 90737

Prime factors of 90737 are 31, 2927. Prime factorization of 90737 in exponential form is:

90737 = 311 × 29271

Prime Factorization of 90751

Prime factors of 90751 are 151, 601. Prime factorization of 90751 in exponential form is:

90751 = 1511 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 90737 and 90751.

LCM(90737,90751) = 311 × 29271 × 1511 × 6011
LCM(90737,90751) = 8234473487