What is the Least Common Multiple of 36420 and 36440?

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 36420 and 36440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36420 and 36440, than apply into the LCM equation.

GCF(36420,36440) = 20
LCM(36420,36440) = ( 36420 × 36440) / 20
LCM(36420,36440) = 1327144800 / 20
LCM(36420,36440) = 66357240

Least Common Multiple (LCM) of 36420 and 36440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36420 and 36440. First we will calculate the prime factors of 36420 and 36440.

Prime Factorization of 36420

Prime Factorization of 36440

Now multiplying the highest exponent prime factors to calculate the LCM of 36420 and 36440.

LCM(36420,36440) = 2³ × 3¹ × 5¹ × 607¹ × 911¹
LCM(36420,36440) = 66357240