What is the Least Common Multiple of 28928 and 28941?

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 28928 and 28941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28928 and 28941, than apply into the LCM equation.

GCF(28928,28941) = 1
LCM(28928,28941) = ( 28928 × 28941) / 1
LCM(28928,28941) = 837205248 / 1
LCM(28928,28941) = 837205248

Least Common Multiple (LCM) of 28928 and 28941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28928 and 28941. First we will calculate the prime factors of 28928 and 28941.

Prime Factorization of 28928

Prime Factorization of 28941

Now multiplying the highest exponent prime factors to calculate the LCM of 28928 and 28941.

LCM(28928,28941) = 2⁸ × 113¹ × 3¹ × 11¹ × 877¹
LCM(28928,28941) = 837205248