What is the Least Common Multiple of 37335 and 37340?

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 37335 and 37340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37335 and 37340, than apply into the LCM equation.

GCF(37335,37340) = 5
LCM(37335,37340) = ( 37335 × 37340) / 5
LCM(37335,37340) = 1394088900 / 5
LCM(37335,37340) = 278817780

Least Common Multiple (LCM) of 37335 and 37340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37335 and 37340. First we will calculate the prime factors of 37335 and 37340.

Prime Factorization of 37335

Prime Factorization of 37340

Now multiplying the highest exponent prime factors to calculate the LCM of 37335 and 37340.

LCM(37335,37340) = 3¹ × 5¹ × 19¹ × 131¹ × 2² × 1867¹
LCM(37335,37340) = 278817780