What is the Least Common Multiple of 57724 and 57743?

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 57724 and 57743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57724 and 57743, than apply into the LCM equation.

GCF(57724,57743) = 1
LCM(57724,57743) = ( 57724 × 57743) / 1
LCM(57724,57743) = 3333156932 / 1
LCM(57724,57743) = 3333156932

Least Common Multiple (LCM) of 57724 and 57743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57724 and 57743. First we will calculate the prime factors of 57724 and 57743.

Prime Factorization of 57724

Prime Factorization of 57743

Now multiplying the highest exponent prime factors to calculate the LCM of 57724 and 57743.

LCM(57724,57743) = 2² × 14431¹ × 7¹ × 73¹ × 113¹
LCM(57724,57743) = 3333156932