What is the Least Common Multiple of 8520 and 8535?

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 8520 and 8535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8520 and 8535, than apply into the LCM equation.

GCF(8520,8535) = 15
LCM(8520,8535) = ( 8520 × 8535) / 15
LCM(8520,8535) = 72718200 / 15
LCM(8520,8535) = 4847880

Least Common Multiple (LCM) of 8520 and 8535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8520 and 8535. First we will calculate the prime factors of 8520 and 8535.

Prime Factorization of 8520

Prime Factorization of 8535

Now multiplying the highest exponent prime factors to calculate the LCM of 8520 and 8535.

LCM(8520,8535) = 2³ × 3¹ × 5¹ × 71¹ × 569¹
LCM(8520,8535) = 4847880