What is the Least Common Multiple of 36270 and 36283?

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 36270 and 36283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36270 and 36283, than apply into the LCM equation.

GCF(36270,36283) = 13
LCM(36270,36283) = ( 36270 × 36283) / 13
LCM(36270,36283) = 1315984410 / 13
LCM(36270,36283) = 101229570

Least Common Multiple (LCM) of 36270 and 36283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36270 and 36283. First we will calculate the prime factors of 36270 and 36283.

Prime Factorization of 36270

Prime Factorization of 36283

Now multiplying the highest exponent prime factors to calculate the LCM of 36270 and 36283.

LCM(36270,36283) = 2¹ × 3² × 5¹ × 13¹ × 31¹ × 2791¹
LCM(36270,36283) = 101229570