What is the Least Common Multiple of 88440 and 88450?

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 88440 and 88450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88440 and 88450, than apply into the LCM equation.

GCF(88440,88450) = 10
LCM(88440,88450) = ( 88440 × 88450) / 10
LCM(88440,88450) = 7822518000 / 10
LCM(88440,88450) = 782251800

Least Common Multiple (LCM) of 88440 and 88450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88440 and 88450. First we will calculate the prime factors of 88440 and 88450.

Prime Factorization of 88440

Prime Factorization of 88450

Now multiplying the highest exponent prime factors to calculate the LCM of 88440 and 88450.

LCM(88440,88450) = 2³ × 3¹ × 5² × 11¹ × 67¹ × 29¹ × 61¹
LCM(88440,88450) = 782251800