What is the Least Common Multiple of 85461 and 85478?

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 85461 and 85478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85461 and 85478, than apply into the LCM equation.

GCF(85461,85478) = 1
LCM(85461,85478) = ( 85461 × 85478) / 1
LCM(85461,85478) = 7305035358 / 1
LCM(85461,85478) = 7305035358

Least Common Multiple (LCM) of 85461 and 85478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85461 and 85478. First we will calculate the prime factors of 85461 and 85478.

Prime Factorization of 85461

Prime Factorization of 85478

Now multiplying the highest exponent prime factors to calculate the LCM of 85461 and 85478.

LCM(85461,85478) = 3¹ × 61¹ × 467¹ × 2¹ × 79¹ × 541¹
LCM(85461,85478) = 7305035358