What is the Least Common Multiple of 82920 and 82935?

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 82920 and 82935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82920 and 82935, than apply into the LCM equation.

GCF(82920,82935) = 15
LCM(82920,82935) = ( 82920 × 82935) / 15
LCM(82920,82935) = 6876970200 / 15
LCM(82920,82935) = 458464680

Least Common Multiple (LCM) of 82920 and 82935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82920 and 82935. First we will calculate the prime factors of 82920 and 82935.

Prime Factorization of 82920

Prime Factorization of 82935

Now multiplying the highest exponent prime factors to calculate the LCM of 82920 and 82935.

LCM(82920,82935) = 2³ × 3² × 5¹ × 691¹ × 19¹ × 97¹
LCM(82920,82935) = 458464680