What is the Least Common Multiple of 80696 and 80710?

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 80696 and 80710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80696 and 80710, than apply into the LCM equation.

GCF(80696,80710) = 14
LCM(80696,80710) = ( 80696 × 80710) / 14
LCM(80696,80710) = 6512974160 / 14
LCM(80696,80710) = 465212440

Least Common Multiple (LCM) of 80696 and 80710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80696 and 80710. First we will calculate the prime factors of 80696 and 80710.

Prime Factorization of 80696

Prime Factorization of 80710

Now multiplying the highest exponent prime factors to calculate the LCM of 80696 and 80710.

LCM(80696,80710) = 2³ × 7¹ × 11¹ × 131¹ × 5¹ × 1153¹
LCM(80696,80710) = 465212440