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What is the Least Common Multiple of 80111 and 80126?

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 80111 and 80126 is 6418973986.

LCM(80111,80126) = 6418973986

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Least Common Multiple of 80111 and 80126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80111 and 80126, than apply into the LCM equation.

GCF(80111,80126) = 1
LCM(80111,80126) = ( 80111 × 80126) / 1
LCM(80111,80126) = 6418973986 / 1
LCM(80111,80126) = 6418973986

Least Common Multiple (LCM) of 80111 and 80126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80111 and 80126. First we will calculate the prime factors of 80111 and 80126.

Prime Factorization of 80111

Prime factors of 80111 are 80111. Prime factorization of 80111 in exponential form is:

80111 = 801111

Prime Factorization of 80126

Prime factors of 80126 are 2, 40063. Prime factorization of 80126 in exponential form is:

80126 = 21 × 400631

Now multiplying the highest exponent prime factors to calculate the LCM of 80111 and 80126.

LCM(80111,80126) = 801111 × 21 × 400631
LCM(80111,80126) = 6418973986