What is the Least Common Multiple of 57393 and 57409?

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 57393 and 57409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57393 and 57409, than apply into the LCM equation.

GCF(57393,57409) = 1
LCM(57393,57409) = ( 57393 × 57409) / 1
LCM(57393,57409) = 3294874737 / 1
LCM(57393,57409) = 3294874737

Least Common Multiple (LCM) of 57393 and 57409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57393 and 57409. First we will calculate the prime factors of 57393 and 57409.

Prime Factorization of 57393

Prime Factorization of 57409

Now multiplying the highest exponent prime factors to calculate the LCM of 57393 and 57409.

LCM(57393,57409) = 3² × 7¹ × 911¹ × 11¹ × 17¹ × 307¹
LCM(57393,57409) = 3294874737