What is the Least Common Multiple of 80713 and 80727?

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 of 80713 and 80727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80713 and 80727, than apply into the LCM equation.

GCF(80713,80727) = 1
LCM(80713,80727) = ( 80713 × 80727) / 1
LCM(80713,80727) = 6515718351 / 1
LCM(80713,80727) = 6515718351

Least Common Multiple (LCM) of 80713 and 80727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80713 and 80727. First we will calculate the prime factors of 80713 and 80727.

Prime Factorization of 80713

Prime Factorization of 80727

Now multiplying the highest exponent prime factors to calculate the LCM of 80713 and 80727.

LCM(80713,80727) = 80713¹ × 3¹ × 71¹ × 379¹
LCM(80713,80727) = 6515718351