What is the Least Common Multiple of 45450 and 45459?

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 45450 and 45459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45450 and 45459, than apply into the LCM equation.

GCF(45450,45459) = 9
LCM(45450,45459) = ( 45450 × 45459) / 9
LCM(45450,45459) = 2066111550 / 9
LCM(45450,45459) = 229567950

Least Common Multiple (LCM) of 45450 and 45459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45450 and 45459. First we will calculate the prime factors of 45450 and 45459.

Prime Factorization of 45450

Prime Factorization of 45459

Now multiplying the highest exponent prime factors to calculate the LCM of 45450 and 45459.

LCM(45450,45459) = 2¹ × 3² × 5² × 101¹ × 5051¹
LCM(45450,45459) = 229567950