What is the Least Common Multiple of 82470 and 82485?

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 82470 and 82485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82470 and 82485, than apply into the LCM equation.

GCF(82470,82485) = 15
LCM(82470,82485) = ( 82470 × 82485) / 15
LCM(82470,82485) = 6802537950 / 15
LCM(82470,82485) = 453502530

Least Common Multiple (LCM) of 82470 and 82485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82470 and 82485. First we will calculate the prime factors of 82470 and 82485.

Prime Factorization of 82470

Prime Factorization of 82485

Now multiplying the highest exponent prime factors to calculate the LCM of 82470 and 82485.

LCM(82470,82485) = 2¹ × 3³ × 5¹ × 2749¹ × 13¹ × 47¹
LCM(82470,82485) = 453502530