What is the Least Common Multiple of 37230 and 37236?

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 37230 and 37236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37230 and 37236, than apply into the LCM equation.

GCF(37230,37236) = 6
LCM(37230,37236) = ( 37230 × 37236) / 6
LCM(37230,37236) = 1386296280 / 6
LCM(37230,37236) = 231049380

Least Common Multiple (LCM) of 37230 and 37236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37230 and 37236. First we will calculate the prime factors of 37230 and 37236.

Prime Factorization of 37230

Prime Factorization of 37236

Now multiplying the highest exponent prime factors to calculate the LCM of 37230 and 37236.

LCM(37230,37236) = 2² × 3¹ × 5¹ × 17¹ × 73¹ × 29¹ × 107¹
LCM(37230,37236) = 231049380