What is the Least Common Multiple of 89450 and 89465?

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 89465 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 89465, than apply into the LCM equation.

GCF(89450,89465) = 5
LCM(89450,89465) = ( 89450 × 89465) / 5
LCM(89450,89465) = 8002644250 / 5
LCM(89450,89465) = 1600528850

Least Common Multiple (LCM) of 89450 and 89465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89450 and 89465. First we will calculate the prime factors of 89450 and 89465.

Prime Factorization of 89450

Prime Factorization of 89465

Now multiplying the highest exponent prime factors to calculate the LCM of 89450 and 89465.

LCM(89450,89465) = 2¹ × 5² × 1789¹ × 29¹ × 617¹
LCM(89450,89465) = 1600528850