What is the Least Common Multiple of 84928 and 84941?

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 84928 and 84941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84928 and 84941, than apply into the LCM equation.

GCF(84928,84941) = 1
LCM(84928,84941) = ( 84928 × 84941) / 1
LCM(84928,84941) = 7213869248 / 1
LCM(84928,84941) = 7213869248

Least Common Multiple (LCM) of 84928 and 84941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84928 and 84941. First we will calculate the prime factors of 84928 and 84941.

Prime Factorization of 84928

Prime Factorization of 84941

Now multiplying the highest exponent prime factors to calculate the LCM of 84928 and 84941.

LCM(84928,84941) = 2⁶ × 1327¹ × 29² × 101¹
LCM(84928,84941) = 7213869248