What is the Least Common Multiple of 90145 and 90150?

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 90145 and 90150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90145 and 90150, than apply into the LCM equation.

GCF(90145,90150) = 5
LCM(90145,90150) = ( 90145 × 90150) / 5
LCM(90145,90150) = 8126571750 / 5
LCM(90145,90150) = 1625314350

Least Common Multiple (LCM) of 90145 and 90150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90145 and 90150. First we will calculate the prime factors of 90145 and 90150.

Prime Factorization of 90145

Prime Factorization of 90150

Now multiplying the highest exponent prime factors to calculate the LCM of 90145 and 90150.

LCM(90145,90150) = 5² × 11² × 149¹ × 2¹ × 3¹ × 601¹
LCM(90145,90150) = 1625314350