What is the Least Common Multiple of 89450 and 89454?

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 89450 and 89454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89450 and 89454, than apply into the LCM equation.

GCF(89450,89454) = 2
LCM(89450,89454) = ( 89450 × 89454) / 2
LCM(89450,89454) = 8001660300 / 2
LCM(89450,89454) = 4000830150

Least Common Multiple (LCM) of 89450 and 89454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89450 and 89454. First we will calculate the prime factors of 89450 and 89454.

Prime Factorization of 89450

Prime Factorization of 89454

Now multiplying the highest exponent prime factors to calculate the LCM of 89450 and 89454.

LCM(89450,89454) = 2¹ × 5² × 1789¹ × 3¹ × 17¹ × 877¹
LCM(89450,89454) = 4000830150