What is the Least Common Multiple of 28152 and 28161?

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 28152 and 28161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28152 and 28161, than apply into the LCM equation.

GCF(28152,28161) = 9
LCM(28152,28161) = ( 28152 × 28161) / 9
LCM(28152,28161) = 792788472 / 9
LCM(28152,28161) = 88087608

Least Common Multiple (LCM) of 28152 and 28161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28152 and 28161. First we will calculate the prime factors of 28152 and 28161.

Prime Factorization of 28152

Prime Factorization of 28161

Now multiplying the highest exponent prime factors to calculate the LCM of 28152 and 28161.

LCM(28152,28161) = 2³ × 3³ × 17¹ × 23¹ × 7¹ × 149¹
LCM(28152,28161) = 88087608