What is the Least Common Multiple of 85488 and 85496?

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 85488 and 85496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85488 and 85496, than apply into the LCM equation.

GCF(85488,85496) = 8
LCM(85488,85496) = ( 85488 × 85496) / 8
LCM(85488,85496) = 7308882048 / 8
LCM(85488,85496) = 913610256

Least Common Multiple (LCM) of 85488 and 85496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85488 and 85496. First we will calculate the prime factors of 85488 and 85496.

Prime Factorization of 85488

Prime Factorization of 85496

Now multiplying the highest exponent prime factors to calculate the LCM of 85488 and 85496.

LCM(85488,85496) = 2⁴ × 3¹ × 13¹ × 137¹ × 10687¹
LCM(85488,85496) = 913610256