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What is the Least Common Multiple of 80737 and 80744?

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 80737 and 80744 is 6519028328.

LCM(80737,80744) = 6519028328

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Least Common Multiple of 80737 and 80744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80737 and 80744, than apply into the LCM equation.

GCF(80737,80744) = 1
LCM(80737,80744) = ( 80737 × 80744) / 1
LCM(80737,80744) = 6519028328 / 1
LCM(80737,80744) = 6519028328

Least Common Multiple (LCM) of 80737 and 80744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80737 and 80744. First we will calculate the prime factors of 80737 and 80744.

Prime Factorization of 80737

Prime factors of 80737 are 80737. Prime factorization of 80737 in exponential form is:

80737 = 807371

Prime Factorization of 80744

Prime factors of 80744 are 2, 10093. Prime factorization of 80744 in exponential form is:

80744 = 23 × 100931

Now multiplying the highest exponent prime factors to calculate the LCM of 80737 and 80744.

LCM(80737,80744) = 807371 × 23 × 100931
LCM(80737,80744) = 6519028328