What is the Least Common Multiple of 28038 and 28056?

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 28038 and 28056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28038 and 28056, than apply into the LCM equation.

GCF(28038,28056) = 6
LCM(28038,28056) = ( 28038 × 28056) / 6
LCM(28038,28056) = 786634128 / 6
LCM(28038,28056) = 131105688

Least Common Multiple (LCM) of 28038 and 28056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28038 and 28056. First we will calculate the prime factors of 28038 and 28056.

Prime Factorization of 28038

Prime Factorization of 28056

Now multiplying the highest exponent prime factors to calculate the LCM of 28038 and 28056.

LCM(28038,28056) = 2³ × 3¹ × 4673¹ × 7¹ × 167¹
LCM(28038,28056) = 131105688