What is the Least Common Multiple of 37212 and 37228?

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 37212 and 37228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37212 and 37228, than apply into the LCM equation.

GCF(37212,37228) = 4
LCM(37212,37228) = ( 37212 × 37228) / 4
LCM(37212,37228) = 1385328336 / 4
LCM(37212,37228) = 346332084

Least Common Multiple (LCM) of 37212 and 37228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37212 and 37228. First we will calculate the prime factors of 37212 and 37228.

Prime Factorization of 37212

Prime Factorization of 37228

Now multiplying the highest exponent prime factors to calculate the LCM of 37212 and 37228.

LCM(37212,37228) = 2² × 3¹ × 7¹ × 443¹ × 41¹ × 227¹
LCM(37212,37228) = 346332084