What is the Least Common Multiple of 37269 and 37277?

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 37269 and 37277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37269 and 37277, than apply into the LCM equation.

GCF(37269,37277) = 1
LCM(37269,37277) = ( 37269 × 37277) / 1
LCM(37269,37277) = 1389276513 / 1
LCM(37269,37277) = 1389276513

Least Common Multiple (LCM) of 37269 and 37277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37269 and 37277. First we will calculate the prime factors of 37269 and 37277.

Prime Factorization of 37269

Prime Factorization of 37277

Now multiplying the highest exponent prime factors to calculate the LCM of 37269 and 37277.

LCM(37269,37277) = 3² × 41¹ × 101¹ × 37277¹
LCM(37269,37277) = 1389276513