What is the Least Common Multiple of 89209 and 89216?

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 89209 and 89216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89209 and 89216, than apply into the LCM equation.

GCF(89209,89216) = 1
LCM(89209,89216) = ( 89209 × 89216) / 1
LCM(89209,89216) = 7958870144 / 1
LCM(89209,89216) = 7958870144

Least Common Multiple (LCM) of 89209 and 89216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89209 and 89216. First we will calculate the prime factors of 89209 and 89216.

Prime Factorization of 89209

Prime Factorization of 89216

Now multiplying the highest exponent prime factors to calculate the LCM of 89209 and 89216.

LCM(89209,89216) = 89209¹ × 2⁷ × 17¹ × 41¹
LCM(89209,89216) = 7958870144