What is the Least Common Multiple of 36234 and 36250?

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 36234 and 36250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36234 and 36250, than apply into the LCM equation.

GCF(36234,36250) = 2
LCM(36234,36250) = ( 36234 × 36250) / 2
LCM(36234,36250) = 1313482500 / 2
LCM(36234,36250) = 656741250

Least Common Multiple (LCM) of 36234 and 36250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36234 and 36250. First we will calculate the prime factors of 36234 and 36250.

Prime Factorization of 36234

Prime Factorization of 36250

Now multiplying the highest exponent prime factors to calculate the LCM of 36234 and 36250.

LCM(36234,36250) = 2¹ × 3³ × 11¹ × 61¹ × 5⁴ × 29¹
LCM(36234,36250) = 656741250