What is the Least Common Multiple of 37221 and 37231?

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 37221 and 37231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37221 and 37231, than apply into the LCM equation.

GCF(37221,37231) = 1
LCM(37221,37231) = ( 37221 × 37231) / 1
LCM(37221,37231) = 1385775051 / 1
LCM(37221,37231) = 1385775051

Least Common Multiple (LCM) of 37221 and 37231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37221 and 37231. First we will calculate the prime factors of 37221 and 37231.

Prime Factorization of 37221

Prime Factorization of 37231

Now multiplying the highest exponent prime factors to calculate the LCM of 37221 and 37231.

LCM(37221,37231) = 3¹ × 19¹ × 653¹ × 31¹ × 1201¹
LCM(37221,37231) = 1385775051