What is the Least Common Multiple of 89230 and 89250?

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 89230 and 89250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89230 and 89250, than apply into the LCM equation.

GCF(89230,89250) = 10
LCM(89230,89250) = ( 89230 × 89250) / 10
LCM(89230,89250) = 7963777500 / 10
LCM(89230,89250) = 796377750

Least Common Multiple (LCM) of 89230 and 89250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89230 and 89250. First we will calculate the prime factors of 89230 and 89250.

Prime Factorization of 89230

Prime Factorization of 89250

Now multiplying the highest exponent prime factors to calculate the LCM of 89230 and 89250.

LCM(89230,89250) = 2¹ × 5³ × 8923¹ × 3¹ × 7¹ × 17¹
LCM(89230,89250) = 796377750