What is the Least Common Multiple of 85448 and 85454?

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 85448 and 85454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85448 and 85454, than apply into the LCM equation.

GCF(85448,85454) = 2
LCM(85448,85454) = ( 85448 × 85454) / 2
LCM(85448,85454) = 7301873392 / 2
LCM(85448,85454) = 3650936696

Least Common Multiple (LCM) of 85448 and 85454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85448 and 85454. First we will calculate the prime factors of 85448 and 85454.

Prime Factorization of 85448

Prime Factorization of 85454

Now multiplying the highest exponent prime factors to calculate the LCM of 85448 and 85454.

LCM(85448,85454) = 2³ × 11¹ × 971¹ × 42727¹
LCM(85448,85454) = 3650936696