What is the Least Common Multiple of 90153 and 90160?

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 90153 and 90160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90153 and 90160, than apply into the LCM equation.

GCF(90153,90160) = 7
LCM(90153,90160) = ( 90153 × 90160) / 7
LCM(90153,90160) = 8128194480 / 7
LCM(90153,90160) = 1161170640

Least Common Multiple (LCM) of 90153 and 90160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90153 and 90160. First we will calculate the prime factors of 90153 and 90160.

Prime Factorization of 90153

Prime Factorization of 90160

Now multiplying the highest exponent prime factors to calculate the LCM of 90153 and 90160.

LCM(90153,90160) = 3⁵ × 7² × 53¹ × 2⁴ × 5¹ × 23¹
LCM(90153,90160) = 1161170640