What is the Least Common Multiple of 85470 and 85477?

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 85477 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 85477, than apply into the LCM equation.

GCF(85470,85477) = 7
LCM(85470,85477) = ( 85470 × 85477) / 7
LCM(85470,85477) = 7305719190 / 7
LCM(85470,85477) = 1043674170

Least Common Multiple (LCM) of 85470 and 85477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85470 and 85477. First we will calculate the prime factors of 85470 and 85477.

Prime Factorization of 85470

Prime Factorization of 85477

Now multiplying the highest exponent prime factors to calculate the LCM of 85470 and 85477.

LCM(85470,85477) = 2¹ × 3¹ × 5¹ × 7¹ × 11¹ × 37¹ × 12211¹
LCM(85470,85477) = 1043674170