What is the Least Common Multiple of 37305 and 37309?

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 37305 and 37309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37305 and 37309, than apply into the LCM equation.

GCF(37305,37309) = 1
LCM(37305,37309) = ( 37305 × 37309) / 1
LCM(37305,37309) = 1391812245 / 1
LCM(37305,37309) = 1391812245

Least Common Multiple (LCM) of 37305 and 37309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37305 and 37309. First we will calculate the prime factors of 37305 and 37309.

Prime Factorization of 37305

Prime Factorization of 37309

Now multiplying the highest exponent prime factors to calculate the LCM of 37305 and 37309.

LCM(37305,37309) = 3² × 5¹ × 829¹ × 37309¹
LCM(37305,37309) = 1391812245