What is the Least Common Multiple of 85470 and 85485?

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 85470 and 85485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85470 and 85485, than apply into the LCM equation.

GCF(85470,85485) = 15
LCM(85470,85485) = ( 85470 × 85485) / 15
LCM(85470,85485) = 7306402950 / 15
LCM(85470,85485) = 487093530

Least Common Multiple (LCM) of 85470 and 85485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85470 and 85485. First we will calculate the prime factors of 85470 and 85485.

Prime Factorization of 85470

Prime Factorization of 85485

Now multiplying the highest exponent prime factors to calculate the LCM of 85470 and 85485.

LCM(85470,85485) = 2¹ × 3¹ × 5¹ × 7¹ × 11¹ × 37¹ × 41¹ × 139¹
LCM(85470,85485) = 487093530