What is the Least Common Multiple of 37203 and 37221?

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 37203 and 37221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37203 and 37221, than apply into the LCM equation.

GCF(37203,37221) = 3
LCM(37203,37221) = ( 37203 × 37221) / 3
LCM(37203,37221) = 1384732863 / 3
LCM(37203,37221) = 461577621

Least Common Multiple (LCM) of 37203 and 37221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37203 and 37221. First we will calculate the prime factors of 37203 and 37221.

Prime Factorization of 37203

Prime Factorization of 37221

Now multiplying the highest exponent prime factors to calculate the LCM of 37203 and 37221.

LCM(37203,37221) = 3¹ × 12401¹ × 19¹ × 653¹
LCM(37203,37221) = 461577621