What is the Least Common Multiple of 57753 and 57771?

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 57753 and 57771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57753 and 57771, than apply into the LCM equation.

GCF(57753,57771) = 9
LCM(57753,57771) = ( 57753 × 57771) / 9
LCM(57753,57771) = 3336448563 / 9
LCM(57753,57771) = 370716507

Least Common Multiple (LCM) of 57753 and 57771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57753 and 57771. First we will calculate the prime factors of 57753 and 57771.

Prime Factorization of 57753

Prime Factorization of 57771

Now multiplying the highest exponent prime factors to calculate the LCM of 57753 and 57771.

LCM(57753,57771) = 3⁴ × 23¹ × 31¹ × 7² × 131¹
LCM(57753,57771) = 370716507