What is the Least Common Multiple of 37228 and 37244?

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 37228 and 37244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37228 and 37244, than apply into the LCM equation.

GCF(37228,37244) = 4
LCM(37228,37244) = ( 37228 × 37244) / 4
LCM(37228,37244) = 1386519632 / 4
LCM(37228,37244) = 346629908

Least Common Multiple (LCM) of 37228 and 37244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37228 and 37244. First we will calculate the prime factors of 37228 and 37244.

Prime Factorization of 37228

Prime Factorization of 37244

Now multiplying the highest exponent prime factors to calculate the LCM of 37228 and 37244.

LCM(37228,37244) = 2² × 41¹ × 227¹ × 9311¹
LCM(37228,37244) = 346629908