What is the Least Common Multiple of 45135 and 45153?

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 45153 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 45153, than apply into the LCM equation.

GCF(45135,45153) = 9
LCM(45135,45153) = ( 45135 × 45153) / 9
LCM(45135,45153) = 2037980655 / 9
LCM(45135,45153) = 226442295

Least Common Multiple (LCM) of 45135 and 45153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45135 and 45153. First we will calculate the prime factors of 45135 and 45153.

Prime Factorization of 45135

Prime Factorization of 45153

Now multiplying the highest exponent prime factors to calculate the LCM of 45135 and 45153.

LCM(45135,45153) = 3² × 5¹ × 17¹ × 59¹ × 29¹ × 173¹
LCM(45135,45153) = 226442295