What is the Least Common Multiple of 85416 and 85430?

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 85416 and 85430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85416 and 85430, than apply into the LCM equation.

GCF(85416,85430) = 2
LCM(85416,85430) = ( 85416 × 85430) / 2
LCM(85416,85430) = 7297088880 / 2
LCM(85416,85430) = 3648544440

Least Common Multiple (LCM) of 85416 and 85430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85416 and 85430. First we will calculate the prime factors of 85416 and 85430.

Prime Factorization of 85416

Prime Factorization of 85430

Now multiplying the highest exponent prime factors to calculate the LCM of 85416 and 85430.

LCM(85416,85430) = 2³ × 3¹ × 3559¹ × 5¹ × 8543¹
LCM(85416,85430) = 3648544440