What is the Least Common Multiple of 36330 and 36348?

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 36330 and 36348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36330 and 36348, than apply into the LCM equation.

GCF(36330,36348) = 6
LCM(36330,36348) = ( 36330 × 36348) / 6
LCM(36330,36348) = 1320522840 / 6
LCM(36330,36348) = 220087140

Least Common Multiple (LCM) of 36330 and 36348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36330 and 36348. First we will calculate the prime factors of 36330 and 36348.

Prime Factorization of 36330

Prime Factorization of 36348

Now multiplying the highest exponent prime factors to calculate the LCM of 36330 and 36348.

LCM(36330,36348) = 2² × 3¹ × 5¹ × 7¹ × 173¹ × 13¹ × 233¹
LCM(36330,36348) = 220087140