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What is the Least Common Multiple of 80115 and 80134?

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 80115 and 80134 is 6419935410.

LCM(80115,80134) = 6419935410

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Least Common Multiple of 80115 and 80134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80115 and 80134, than apply into the LCM equation.

GCF(80115,80134) = 1
LCM(80115,80134) = ( 80115 × 80134) / 1
LCM(80115,80134) = 6419935410 / 1
LCM(80115,80134) = 6419935410

Least Common Multiple (LCM) of 80115 and 80134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80115 and 80134. First we will calculate the prime factors of 80115 and 80134.

Prime Factorization of 80115

Prime factors of 80115 are 3, 5, 7, 109. Prime factorization of 80115 in exponential form is:

80115 = 31 × 51 × 72 × 1091

Prime Factorization of 80134

Prime factors of 80134 are 2, 103, 389. Prime factorization of 80134 in exponential form is:

80134 = 21 × 1031 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 80115 and 80134.

LCM(80115,80134) = 31 × 51 × 72 × 1091 × 21 × 1031 × 3891
LCM(80115,80134) = 6419935410