What is the Least Common Multiple of 86505 and 86520?

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 86505 and 86520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86505 and 86520, than apply into the LCM equation.

GCF(86505,86520) = 15
LCM(86505,86520) = ( 86505 × 86520) / 15
LCM(86505,86520) = 7484412600 / 15
LCM(86505,86520) = 498960840

Least Common Multiple (LCM) of 86505 and 86520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86505 and 86520. First we will calculate the prime factors of 86505 and 86520.

Prime Factorization of 86505

Prime Factorization of 86520

Now multiplying the highest exponent prime factors to calculate the LCM of 86505 and 86520.

LCM(86505,86520) = 3¹ × 5¹ × 73¹ × 79¹ × 2³ × 7¹ × 103¹
LCM(86505,86520) = 498960840