What is the Least Common Multiple of 37984 and 38004?

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 37984 and 38004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37984 and 38004, than apply into the LCM equation.

GCF(37984,38004) = 4
LCM(37984,38004) = ( 37984 × 38004) / 4
LCM(37984,38004) = 1443543936 / 4
LCM(37984,38004) = 360885984

Least Common Multiple (LCM) of 37984 and 38004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37984 and 38004. First we will calculate the prime factors of 37984 and 38004.

Prime Factorization of 37984

Prime Factorization of 38004

Now multiplying the highest exponent prime factors to calculate the LCM of 37984 and 38004.

LCM(37984,38004) = 2⁵ × 1187¹ × 3¹ × 3167¹
LCM(37984,38004) = 360885984