What is the Least Common Multiple of 89200 and 89210?

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 89200 and 89210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89200 and 89210, than apply into the LCM equation.

GCF(89200,89210) = 10
LCM(89200,89210) = ( 89200 × 89210) / 10
LCM(89200,89210) = 7957532000 / 10
LCM(89200,89210) = 795753200

Least Common Multiple (LCM) of 89200 and 89210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89200 and 89210. First we will calculate the prime factors of 89200 and 89210.

Prime Factorization of 89200

Prime Factorization of 89210

Now multiplying the highest exponent prime factors to calculate the LCM of 89200 and 89210.

LCM(89200,89210) = 2⁴ × 5² × 223¹ × 11¹ × 811¹
LCM(89200,89210) = 795753200