What is the Least Common Multiple of 45123 and 45141?

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 45141 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 45141, than apply into the LCM equation.

GCF(45123,45141) = 3
LCM(45123,45141) = ( 45123 × 45141) / 3
LCM(45123,45141) = 2036897343 / 3
LCM(45123,45141) = 678965781

Least Common Multiple (LCM) of 45123 and 45141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45123 and 45141. First we will calculate the prime factors of 45123 and 45141.

Prime Factorization of 45123

Prime Factorization of 45141

Now multiplying the highest exponent prime factors to calculate the LCM of 45123 and 45141.

LCM(45123,45141) = 3¹ × 13² × 89¹ × 41¹ × 367¹
LCM(45123,45141) = 678965781