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What is the Least Common Multiple of 80079 and 80095?

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 80079 and 80095 is 6413927505.

LCM(80079,80095) = 6413927505

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Least Common Multiple of 80079 and 80095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80079 and 80095, than apply into the LCM equation.

GCF(80079,80095) = 1
LCM(80079,80095) = ( 80079 × 80095) / 1
LCM(80079,80095) = 6413927505 / 1
LCM(80079,80095) = 6413927505

Least Common Multiple (LCM) of 80079 and 80095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80079 and 80095. First we will calculate the prime factors of 80079 and 80095.

Prime Factorization of 80079

Prime factors of 80079 are 3, 26693. Prime factorization of 80079 in exponential form is:

80079 = 31 × 266931

Prime Factorization of 80095

Prime factors of 80095 are 5, 83, 193. Prime factorization of 80095 in exponential form is:

80095 = 51 × 831 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 80079 and 80095.

LCM(80079,80095) = 31 × 266931 × 51 × 831 × 1931
LCM(80079,80095) = 6413927505