What is the Least Common Multiple of 86520 and 86538?

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 86520 and 86538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86520 and 86538, than apply into the LCM equation.

GCF(86520,86538) = 6
LCM(86520,86538) = ( 86520 × 86538) / 6
LCM(86520,86538) = 7487267760 / 6
LCM(86520,86538) = 1247877960

Least Common Multiple (LCM) of 86520 and 86538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86520 and 86538. First we will calculate the prime factors of 86520 and 86538.

Prime Factorization of 86520

Prime Factorization of 86538

Now multiplying the highest exponent prime factors to calculate the LCM of 86520 and 86538.

LCM(86520,86538) = 2³ × 3¹ × 5¹ × 7¹ × 103¹ × 14423¹
LCM(86520,86538) = 1247877960