What is the Least Common Multiple of 28057 and 28067?

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 28057 and 28067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28057 and 28067, than apply into the LCM equation.

GCF(28057,28067) = 1
LCM(28057,28067) = ( 28057 × 28067) / 1
LCM(28057,28067) = 787475819 / 1
LCM(28057,28067) = 787475819

Least Common Multiple (LCM) of 28057 and 28067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28057 and 28067. First we will calculate the prime factors of 28057 and 28067.

Prime Factorization of 28057

Prime Factorization of 28067

Now multiplying the highest exponent prime factors to calculate the LCM of 28057 and 28067.

LCM(28057,28067) = 28057¹ × 13¹ × 17¹ × 127¹
LCM(28057,28067) = 787475819