What is the Least Common Multiple of 36130 and 36144?

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 36130 and 36144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36130 and 36144, than apply into the LCM equation.

GCF(36130,36144) = 2
LCM(36130,36144) = ( 36130 × 36144) / 2
LCM(36130,36144) = 1305882720 / 2
LCM(36130,36144) = 652941360

Least Common Multiple (LCM) of 36130 and 36144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36130 and 36144. First we will calculate the prime factors of 36130 and 36144.

Prime Factorization of 36130

Prime Factorization of 36144

Now multiplying the highest exponent prime factors to calculate the LCM of 36130 and 36144.

LCM(36130,36144) = 2⁴ × 5¹ × 3613¹ × 3² × 251¹
LCM(36130,36144) = 652941360