What is the Least Common Multiple of 86638 and 86646?

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 86638 and 86646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86638 and 86646, than apply into the LCM equation.

GCF(86638,86646) = 2
LCM(86638,86646) = ( 86638 × 86646) / 2
LCM(86638,86646) = 7506836148 / 2
LCM(86638,86646) = 3753418074

Least Common Multiple (LCM) of 86638 and 86646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86638 and 86646. First we will calculate the prime factors of 86638 and 86646.

Prime Factorization of 86638

Prime Factorization of 86646

Now multiplying the highest exponent prime factors to calculate the LCM of 86638 and 86646.

LCM(86638,86646) = 2¹ × 43319¹ × 3¹ × 7¹ × 2063¹
LCM(86638,86646) = 3753418074