What is the Least Common Multiple of 57931 and 57950?

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 57931 and 57950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57931 and 57950, than apply into the LCM equation.

GCF(57931,57950) = 19
LCM(57931,57950) = ( 57931 × 57950) / 19
LCM(57931,57950) = 3357101450 / 19
LCM(57931,57950) = 176689550

Least Common Multiple (LCM) of 57931 and 57950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57931 and 57950. First we will calculate the prime factors of 57931 and 57950.

Prime Factorization of 57931

Prime Factorization of 57950

Now multiplying the highest exponent prime factors to calculate the LCM of 57931 and 57950.

LCM(57931,57950) = 19¹ × 3049¹ × 2¹ × 5² × 61¹
LCM(57931,57950) = 176689550