What is the Least Common Multiple of 37904 and 37918?

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 37904 and 37918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37904 and 37918, than apply into the LCM equation.

GCF(37904,37918) = 2
LCM(37904,37918) = ( 37904 × 37918) / 2
LCM(37904,37918) = 1437243872 / 2
LCM(37904,37918) = 718621936

Least Common Multiple (LCM) of 37904 and 37918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37904 and 37918. First we will calculate the prime factors of 37904 and 37918.

Prime Factorization of 37904

Prime Factorization of 37918

Now multiplying the highest exponent prime factors to calculate the LCM of 37904 and 37918.

LCM(37904,37918) = 2⁴ × 23¹ × 103¹ × 18959¹
LCM(37904,37918) = 718621936