What is the Least Common Multiple of 36264 and 36270?

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 36264 and 36270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36264 and 36270, than apply into the LCM equation.

GCF(36264,36270) = 6
LCM(36264,36270) = ( 36264 × 36270) / 6
LCM(36264,36270) = 1315295280 / 6
LCM(36264,36270) = 219215880

Least Common Multiple (LCM) of 36264 and 36270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36264 and 36270. First we will calculate the prime factors of 36264 and 36270.

Prime Factorization of 36264

Prime Factorization of 36270

Now multiplying the highest exponent prime factors to calculate the LCM of 36264 and 36270.

LCM(36264,36270) = 2³ × 3² × 1511¹ × 5¹ × 13¹ × 31¹
LCM(36264,36270) = 219215880