What is the Least Common Multiple of 28140 and 28144?

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 28140 and 28144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28140 and 28144, than apply into the LCM equation.

GCF(28140,28144) = 4
LCM(28140,28144) = ( 28140 × 28144) / 4
LCM(28140,28144) = 791972160 / 4
LCM(28140,28144) = 197993040

Least Common Multiple (LCM) of 28140 and 28144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28140 and 28144. First we will calculate the prime factors of 28140 and 28144.

Prime Factorization of 28140

Prime Factorization of 28144

Now multiplying the highest exponent prime factors to calculate the LCM of 28140 and 28144.

LCM(28140,28144) = 2⁴ × 3¹ × 5¹ × 7¹ × 67¹ × 1759¹
LCM(28140,28144) = 197993040