What is the Least Common Multiple of 90275 and 90280?

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 90275 and 90280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90275 and 90280, than apply into the LCM equation.

GCF(90275,90280) = 5
LCM(90275,90280) = ( 90275 × 90280) / 5
LCM(90275,90280) = 8150027000 / 5
LCM(90275,90280) = 1630005400

Least Common Multiple (LCM) of 90275 and 90280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90275 and 90280. First we will calculate the prime factors of 90275 and 90280.

Prime Factorization of 90275

Prime Factorization of 90280

Now multiplying the highest exponent prime factors to calculate the LCM of 90275 and 90280.

LCM(90275,90280) = 5² × 23¹ × 157¹ × 2³ × 37¹ × 61¹
LCM(90275,90280) = 1630005400