What is the Least Common Multiple of 86724 and 86741?

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 86724 and 86741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86724 and 86741, than apply into the LCM equation.

GCF(86724,86741) = 1
LCM(86724,86741) = ( 86724 × 86741) / 1
LCM(86724,86741) = 7522526484 / 1
LCM(86724,86741) = 7522526484

Least Common Multiple (LCM) of 86724 and 86741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86724 and 86741. First we will calculate the prime factors of 86724 and 86741.

Prime Factorization of 86724

Prime Factorization of 86741

Now multiplying the highest exponent prime factors to calculate the LCM of 86724 and 86741.

LCM(86724,86741) = 2² × 3³ × 11¹ × 73¹ × 127¹ × 683¹
LCM(86724,86741) = 7522526484