What is the Least Common Multiple of 85452 and 85461?

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 85452 and 85461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85452 and 85461, than apply into the LCM equation.

GCF(85452,85461) = 3
LCM(85452,85461) = ( 85452 × 85461) / 3
LCM(85452,85461) = 7302813372 / 3
LCM(85452,85461) = 2434271124

Least Common Multiple (LCM) of 85452 and 85461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85452 and 85461. First we will calculate the prime factors of 85452 and 85461.

Prime Factorization of 85452

Prime Factorization of 85461

Now multiplying the highest exponent prime factors to calculate the LCM of 85452 and 85461.

LCM(85452,85461) = 2² × 3¹ × 7121¹ × 61¹ × 467¹
LCM(85452,85461) = 2434271124