What is the Least Common Multiple of 77923 and 77941?

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 77923 and 77941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77923 and 77941, than apply into the LCM equation.

GCF(77923,77941) = 1
LCM(77923,77941) = ( 77923 × 77941) / 1
LCM(77923,77941) = 6073396543 / 1
LCM(77923,77941) = 6073396543

Least Common Multiple (LCM) of 77923 and 77941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77923 and 77941. First we will calculate the prime factors of 77923 and 77941.

Prime Factorization of 77923

Prime Factorization of 77941

Now multiplying the highest exponent prime factors to calculate the LCM of 77923 and 77941.

LCM(77923,77941) = 29¹ × 2687¹ × 41¹ × 1901¹
LCM(77923,77941) = 6073396543