What is the Least Common Multiple of 28906 and 28912?

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 28906 and 28912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28906 and 28912, than apply into the LCM equation.

GCF(28906,28912) = 2
LCM(28906,28912) = ( 28906 × 28912) / 2
LCM(28906,28912) = 835730272 / 2
LCM(28906,28912) = 417865136

Least Common Multiple (LCM) of 28906 and 28912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28906 and 28912. First we will calculate the prime factors of 28906 and 28912.

Prime Factorization of 28906

Prime Factorization of 28912

Now multiplying the highest exponent prime factors to calculate the LCM of 28906 and 28912.

LCM(28906,28912) = 2⁴ × 97¹ × 149¹ × 13¹ × 139¹
LCM(28906,28912) = 417865136