What is the Least Common Multiple of 28032 and 28038?

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 28032 and 28038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28032 and 28038, than apply into the LCM equation.

GCF(28032,28038) = 6
LCM(28032,28038) = ( 28032 × 28038) / 6
LCM(28032,28038) = 785961216 / 6
LCM(28032,28038) = 130993536

Least Common Multiple (LCM) of 28032 and 28038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28032 and 28038. First we will calculate the prime factors of 28032 and 28038.

Prime Factorization of 28032

Prime Factorization of 28038

Now multiplying the highest exponent prime factors to calculate the LCM of 28032 and 28038.

LCM(28032,28038) = 2⁷ × 3¹ × 73¹ × 4673¹
LCM(28032,28038) = 130993536