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What is the Least Common Multiple of 80615 and 80623?

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 80615 and 80623 is 6499423145.

LCM(80615,80623) = 6499423145

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Least Common Multiple of 80615 and 80623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80615 and 80623, than apply into the LCM equation.

GCF(80615,80623) = 1
LCM(80615,80623) = ( 80615 × 80623) / 1
LCM(80615,80623) = 6499423145 / 1
LCM(80615,80623) = 6499423145

Least Common Multiple (LCM) of 80615 and 80623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80615 and 80623. First we will calculate the prime factors of 80615 and 80623.

Prime Factorization of 80615

Prime factors of 80615 are 5, 23, 701. Prime factorization of 80615 in exponential form is:

80615 = 51 × 231 × 7011

Prime Factorization of 80623

Prime factors of 80623 are 37, 2179. Prime factorization of 80623 in exponential form is:

80623 = 371 × 21791

Now multiplying the highest exponent prime factors to calculate the LCM of 80615 and 80623.

LCM(80615,80623) = 51 × 231 × 7011 × 371 × 21791
LCM(80615,80623) = 6499423145