What is the Least Common Multiple of 45205 and 45210?

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 45205 and 45210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45205 and 45210, than apply into the LCM equation.

GCF(45205,45210) = 5
LCM(45205,45210) = ( 45205 × 45210) / 5
LCM(45205,45210) = 2043718050 / 5
LCM(45205,45210) = 408743610

Least Common Multiple (LCM) of 45205 and 45210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45205 and 45210. First we will calculate the prime factors of 45205 and 45210.

Prime Factorization of 45205

Prime Factorization of 45210

Now multiplying the highest exponent prime factors to calculate the LCM of 45205 and 45210.

LCM(45205,45210) = 5¹ × 9041¹ × 2¹ × 3¹ × 11¹ × 137¹
LCM(45205,45210) = 408743610