What is the Least Common Multiple of 45110 and 45123?

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 45110 and 45123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45110 and 45123, than apply into the LCM equation.

GCF(45110,45123) = 13
LCM(45110,45123) = ( 45110 × 45123) / 13
LCM(45110,45123) = 2035498530 / 13
LCM(45110,45123) = 156576810

Least Common Multiple (LCM) of 45110 and 45123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45110 and 45123. First we will calculate the prime factors of 45110 and 45123.

Prime Factorization of 45110

Prime Factorization of 45123

Now multiplying the highest exponent prime factors to calculate the LCM of 45110 and 45123.

LCM(45110,45123) = 2¹ × 5¹ × 13² × 347¹ × 3¹ × 89¹
LCM(45110,45123) = 156576810