What is the Least Common Multiple of 89438 and 89450?

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 89438 and 89450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89438 and 89450, than apply into the LCM equation.

GCF(89438,89450) = 2
LCM(89438,89450) = ( 89438 × 89450) / 2
LCM(89438,89450) = 8000229100 / 2
LCM(89438,89450) = 4000114550

Least Common Multiple (LCM) of 89438 and 89450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89438 and 89450. First we will calculate the prime factors of 89438 and 89450.

Prime Factorization of 89438

Prime Factorization of 89450

Now multiplying the highest exponent prime factors to calculate the LCM of 89438 and 89450.

LCM(89438,89450) = 2¹ × 197¹ × 227¹ × 5² × 1789¹
LCM(89438,89450) = 4000114550