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What is the Least Common Multiple of 80079 and 80092?

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 80092 is 6413687268.

LCM(80079,80092) = 6413687268

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Least Common Multiple of 80079 and 80092 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 80092, than apply into the LCM equation.

GCF(80079,80092) = 1
LCM(80079,80092) = ( 80079 × 80092) / 1
LCM(80079,80092) = 6413687268 / 1
LCM(80079,80092) = 6413687268

Least Common Multiple (LCM) of 80079 and 80092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80079 and 80092. First we will calculate the prime factors of 80079 and 80092.

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 80092

Prime factors of 80092 are 2, 20023. Prime factorization of 80092 in exponential form is:

80092 = 22 × 200231

Now multiplying the highest exponent prime factors to calculate the LCM of 80079 and 80092.

LCM(80079,80092) = 31 × 266931 × 22 × 200231
LCM(80079,80092) = 6413687268