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What is the Least Common Multiple of 80911 and 80919?

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 80911 and 80919 is 6547237209.

LCM(80911,80919) = 6547237209

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Least Common Multiple of 80911 and 80919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80911 and 80919, than apply into the LCM equation.

GCF(80911,80919) = 1
LCM(80911,80919) = ( 80911 × 80919) / 1
LCM(80911,80919) = 6547237209 / 1
LCM(80911,80919) = 6547237209

Least Common Multiple (LCM) of 80911 and 80919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80911 and 80919. First we will calculate the prime factors of 80911 and 80919.

Prime Factorization of 80911

Prime factors of 80911 are 80911. Prime factorization of 80911 in exponential form is:

80911 = 809111

Prime Factorization of 80919

Prime factors of 80919 are 3, 37. Prime factorization of 80919 in exponential form is:

80919 = 37 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 80911 and 80919.

LCM(80911,80919) = 809111 × 37 × 371
LCM(80911,80919) = 6547237209