What is the Least Common Multiple of 37225 and 37238?

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 37225 and 37238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37225 and 37238, than apply into the LCM equation.

GCF(37225,37238) = 1
LCM(37225,37238) = ( 37225 × 37238) / 1
LCM(37225,37238) = 1386184550 / 1
LCM(37225,37238) = 1386184550

Least Common Multiple (LCM) of 37225 and 37238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37225 and 37238. First we will calculate the prime factors of 37225 and 37238.

Prime Factorization of 37225

Prime Factorization of 37238

Now multiplying the highest exponent prime factors to calculate the LCM of 37225 and 37238.

LCM(37225,37238) = 5² × 1489¹ × 2¹ × 43¹ × 433¹
LCM(37225,37238) = 1386184550