What is the Least Common Multiple of 45235 and 45250?

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 45235 and 45250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45235 and 45250, than apply into the LCM equation.

GCF(45235,45250) = 5
LCM(45235,45250) = ( 45235 × 45250) / 5
LCM(45235,45250) = 2046883750 / 5
LCM(45235,45250) = 409376750

Least Common Multiple (LCM) of 45235 and 45250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45235 and 45250. First we will calculate the prime factors of 45235 and 45250.

Prime Factorization of 45235

Prime Factorization of 45250

Now multiplying the highest exponent prime factors to calculate the LCM of 45235 and 45250.

LCM(45235,45250) = 5³ × 83¹ × 109¹ × 2¹ × 181¹
LCM(45235,45250) = 409376750