What is the Least Common Multiple of 45153 and 45157?

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 45153 and 45157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45153 and 45157, than apply into the LCM equation.

GCF(45153,45157) = 1
LCM(45153,45157) = ( 45153 × 45157) / 1
LCM(45153,45157) = 2038974021 / 1
LCM(45153,45157) = 2038974021

Least Common Multiple (LCM) of 45153 and 45157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45153 and 45157. First we will calculate the prime factors of 45153 and 45157.

Prime Factorization of 45153

Prime Factorization of 45157

Now multiplying the highest exponent prime factors to calculate the LCM of 45153 and 45157.

LCM(45153,45157) = 3² × 29¹ × 173¹ × 7¹ × 6451¹
LCM(45153,45157) = 2038974021