What is the Least Common Multiple of 90150 and 90155?

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 90150 and 90155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90150 and 90155, than apply into the LCM equation.

GCF(90150,90155) = 5
LCM(90150,90155) = ( 90150 × 90155) / 5
LCM(90150,90155) = 8127473250 / 5
LCM(90150,90155) = 1625494650

Least Common Multiple (LCM) of 90150 and 90155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90150 and 90155. First we will calculate the prime factors of 90150 and 90155.

Prime Factorization of 90150

Prime Factorization of 90155

Now multiplying the highest exponent prime factors to calculate the LCM of 90150 and 90155.

LCM(90150,90155) = 2¹ × 3¹ × 5² × 601¹ × 13¹ × 19¹ × 73¹
LCM(90150,90155) = 1625494650