What is the Least Common Multiple of 86520 and 86535?

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 86535 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 86535, than apply into the LCM equation.

GCF(86520,86535) = 15
LCM(86520,86535) = ( 86520 × 86535) / 15
LCM(86520,86535) = 7487008200 / 15
LCM(86520,86535) = 499133880

Least Common Multiple (LCM) of 86520 and 86535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86520 and 86535. First we will calculate the prime factors of 86520 and 86535.

Prime Factorization of 86520

Prime Factorization of 86535

Now multiplying the highest exponent prime factors to calculate the LCM of 86520 and 86535.

LCM(86520,86535) = 2³ × 3³ × 5¹ × 7¹ × 103¹ × 641¹
LCM(86520,86535) = 499133880