What is the Least Common Multiple of 45123 and 45130?

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 45123 and 45130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45123 and 45130, than apply into the LCM equation.

GCF(45123,45130) = 1
LCM(45123,45130) = ( 45123 × 45130) / 1
LCM(45123,45130) = 2036400990 / 1
LCM(45123,45130) = 2036400990

Least Common Multiple (LCM) of 45123 and 45130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45123 and 45130. First we will calculate the prime factors of 45123 and 45130.

Prime Factorization of 45123

Prime Factorization of 45130

Now multiplying the highest exponent prime factors to calculate the LCM of 45123 and 45130.

LCM(45123,45130) = 3¹ × 13² × 89¹ × 2¹ × 5¹ × 4513¹
LCM(45123,45130) = 2036400990