What is the Least Common Multiple of 57843 and 57857?

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 57843 and 57857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57843 and 57857, than apply into the LCM equation.

GCF(57843,57857) = 1
LCM(57843,57857) = ( 57843 × 57857) / 1
LCM(57843,57857) = 3346622451 / 1
LCM(57843,57857) = 3346622451

Least Common Multiple (LCM) of 57843 and 57857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57843 and 57857. First we will calculate the prime factors of 57843 and 57857.

Prime Factorization of 57843

Prime Factorization of 57857

Now multiplying the highest exponent prime factors to calculate the LCM of 57843 and 57857.

LCM(57843,57857) = 3² × 6427¹ × 47¹ × 1231¹
LCM(57843,57857) = 3346622451