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What is the Least Common Multiple of 80695 and 80713?

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 80695 and 80713 is 6513135535.

LCM(80695,80713) = 6513135535

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Least Common Multiple of 80695 and 80713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80695 and 80713, than apply into the LCM equation.

GCF(80695,80713) = 1
LCM(80695,80713) = ( 80695 × 80713) / 1
LCM(80695,80713) = 6513135535 / 1
LCM(80695,80713) = 6513135535

Least Common Multiple (LCM) of 80695 and 80713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80695 and 80713. First we will calculate the prime factors of 80695 and 80713.

Prime Factorization of 80695

Prime factors of 80695 are 5, 16139. Prime factorization of 80695 in exponential form is:

80695 = 51 × 161391

Prime Factorization of 80713

Prime factors of 80713 are 80713. Prime factorization of 80713 in exponential form is:

80713 = 807131

Now multiplying the highest exponent prime factors to calculate the LCM of 80695 and 80713.

LCM(80695,80713) = 51 × 161391 × 807131
LCM(80695,80713) = 6513135535