What is the Least Common Multiple of 86638 and 86645?

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 86645 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 86645, than apply into the LCM equation.

GCF(86638,86645) = 1
LCM(86638,86645) = ( 86638 × 86645) / 1
LCM(86638,86645) = 7506749510 / 1
LCM(86638,86645) = 7506749510

Least Common Multiple (LCM) of 86638 and 86645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86638 and 86645. First we will calculate the prime factors of 86638 and 86645.

Prime Factorization of 86638

Prime Factorization of 86645

Now multiplying the highest exponent prime factors to calculate the LCM of 86638 and 86645.

LCM(86638,86645) = 2¹ × 43319¹ × 5¹ × 13¹ × 31¹ × 43¹
LCM(86638,86645) = 7506749510