What is the Least Common Multiple of 45135 and 45145?

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 45135 and 45145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45135 and 45145, than apply into the LCM equation.

GCF(45135,45145) = 5
LCM(45135,45145) = ( 45135 × 45145) / 5
LCM(45135,45145) = 2037619575 / 5
LCM(45135,45145) = 407523915

Least Common Multiple (LCM) of 45135 and 45145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45135 and 45145. First we will calculate the prime factors of 45135 and 45145.

Prime Factorization of 45135

Prime Factorization of 45145

Now multiplying the highest exponent prime factors to calculate the LCM of 45135 and 45145.

LCM(45135,45145) = 3² × 5¹ × 17¹ × 59¹ × 9029¹
LCM(45135,45145) = 407523915