What is the Least Common Multiple of 37091 and 37099?

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 37091 and 37099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37091 and 37099, than apply into the LCM equation.

GCF(37091,37099) = 1
LCM(37091,37099) = ( 37091 × 37099) / 1
LCM(37091,37099) = 1376039009 / 1
LCM(37091,37099) = 1376039009

Least Common Multiple (LCM) of 37091 and 37099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37091 and 37099. First we will calculate the prime factors of 37091 and 37099.

Prime Factorization of 37091

Prime Factorization of 37099

Now multiplying the highest exponent prime factors to calculate the LCM of 37091 and 37099.

LCM(37091,37099) = 29¹ × 1279¹ × 23¹ × 1613¹
LCM(37091,37099) = 1376039009