What is the Least Common Multiple of 49923 and 49941?

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 49923 and 49941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49923 and 49941, than apply into the LCM equation.

GCF(49923,49941) = 9
LCM(49923,49941) = ( 49923 × 49941) / 9
LCM(49923,49941) = 2493204543 / 9
LCM(49923,49941) = 277022727

Least Common Multiple (LCM) of 49923 and 49941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49923 and 49941. First we will calculate the prime factors of 49923 and 49941.

Prime Factorization of 49923

Prime Factorization of 49941

Now multiplying the highest exponent prime factors to calculate the LCM of 49923 and 49941.

LCM(49923,49941) = 3³ × 43² × 31¹ × 179¹
LCM(49923,49941) = 277022727