What is the Least Common Multiple of 90147 and 90153?

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 90147 and 90153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90147 and 90153, than apply into the LCM equation.

GCF(90147,90153) = 3
LCM(90147,90153) = ( 90147 × 90153) / 3
LCM(90147,90153) = 8127022491 / 3
LCM(90147,90153) = 2709007497

Least Common Multiple (LCM) of 90147 and 90153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90147 and 90153. First we will calculate the prime factors of 90147 and 90153.

Prime Factorization of 90147

Prime Factorization of 90153

Now multiplying the highest exponent prime factors to calculate the LCM of 90147 and 90153.

LCM(90147,90153) = 3⁵ × 151¹ × 199¹ × 7¹ × 53¹
LCM(90147,90153) = 2709007497