What is the Least Common Multiple of 38040 and 38056?

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 38040 and 38056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38040 and 38056, than apply into the LCM equation.

GCF(38040,38056) = 8
LCM(38040,38056) = ( 38040 × 38056) / 8
LCM(38040,38056) = 1447650240 / 8
LCM(38040,38056) = 180956280

Least Common Multiple (LCM) of 38040 and 38056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38040 and 38056. First we will calculate the prime factors of 38040 and 38056.

Prime Factorization of 38040

Prime Factorization of 38056

Now multiplying the highest exponent prime factors to calculate the LCM of 38040 and 38056.

LCM(38040,38056) = 2³ × 3¹ × 5¹ × 317¹ × 67¹ × 71¹
LCM(38040,38056) = 180956280