What is the Least Common Multiple of 96925 and 96941?

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 96925 and 96941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96925 and 96941, than apply into the LCM equation.

GCF(96925,96941) = 1
LCM(96925,96941) = ( 96925 × 96941) / 1
LCM(96925,96941) = 9396006425 / 1
LCM(96925,96941) = 9396006425

Least Common Multiple (LCM) of 96925 and 96941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96925 and 96941. First we will calculate the prime factors of 96925 and 96941.

Prime Factorization of 96925

Prime Factorization of 96941

Now multiplying the highest exponent prime factors to calculate the LCM of 96925 and 96941.

LCM(96925,96941) = 5² × 3877¹ × 13¹ × 7457¹
LCM(96925,96941) = 9396006425