What is the Least Common Multiple of 86708 and 86726?

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 86708 and 86726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86708 and 86726, than apply into the LCM equation.

GCF(86708,86726) = 2
LCM(86708,86726) = ( 86708 × 86726) / 2
LCM(86708,86726) = 7519838008 / 2
LCM(86708,86726) = 3759919004

Least Common Multiple (LCM) of 86708 and 86726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86708 and 86726. First we will calculate the prime factors of 86708 and 86726.

Prime Factorization of 86708

Prime Factorization of 86726

Now multiplying the highest exponent prime factors to calculate the LCM of 86708 and 86726.

LCM(86708,86726) = 2² × 53¹ × 409¹ × 103¹ × 421¹
LCM(86708,86726) = 3759919004