What is the Least Common Multiple of 61923 and 61941?

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 61923 and 61941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61923 and 61941, than apply into the LCM equation.

GCF(61923,61941) = 3
LCM(61923,61941) = ( 61923 × 61941) / 3
LCM(61923,61941) = 3835572543 / 3
LCM(61923,61941) = 1278524181

Least Common Multiple (LCM) of 61923 and 61941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61923 and 61941. First we will calculate the prime factors of 61923 and 61941.

Prime Factorization of 61923

Prime Factorization of 61941

Now multiplying the highest exponent prime factors to calculate the LCM of 61923 and 61941.

LCM(61923,61941) = 3¹ × 20641¹ × 11¹ × 1877¹
LCM(61923,61941) = 1278524181