What is the Least Common Multiple of 89216 and 89220?

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 89216 and 89220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89216 and 89220, than apply into the LCM equation.

GCF(89216,89220) = 4
LCM(89216,89220) = ( 89216 × 89220) / 4
LCM(89216,89220) = 7959851520 / 4
LCM(89216,89220) = 1989962880

Least Common Multiple (LCM) of 89216 and 89220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89216 and 89220. First we will calculate the prime factors of 89216 and 89220.

Prime Factorization of 89216

Prime Factorization of 89220

Now multiplying the highest exponent prime factors to calculate the LCM of 89216 and 89220.

LCM(89216,89220) = 2⁷ × 17¹ × 41¹ × 3¹ × 5¹ × 1487¹
LCM(89216,89220) = 1989962880