What is the Least Common Multiple of 71676 and 71685?

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 71676 and 71685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71676 and 71685, than apply into the LCM equation.

GCF(71676,71685) = 9
LCM(71676,71685) = ( 71676 × 71685) / 9
LCM(71676,71685) = 5138094060 / 9
LCM(71676,71685) = 570899340

Least Common Multiple (LCM) of 71676 and 71685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71676 and 71685. First we will calculate the prime factors of 71676 and 71685.

Prime Factorization of 71676

Prime Factorization of 71685

Now multiplying the highest exponent prime factors to calculate the LCM of 71676 and 71685.

LCM(71676,71685) = 2² × 3⁵ × 11¹ × 181¹ × 5¹ × 59¹
LCM(71676,71685) = 570899340