What is the Least Common Multiple of 57441 and 57457?

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 57441 and 57457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57441 and 57457, than apply into the LCM equation.

GCF(57441,57457) = 1
LCM(57441,57457) = ( 57441 × 57457) / 1
LCM(57441,57457) = 3300387537 / 1
LCM(57441,57457) = 3300387537

Least Common Multiple (LCM) of 57441 and 57457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57441 and 57457. First we will calculate the prime factors of 57441 and 57457.

Prime Factorization of 57441

Prime Factorization of 57457

Now multiplying the highest exponent prime factors to calculate the LCM of 57441 and 57457.

LCM(57441,57457) = 3¹ × 41¹ × 467¹ × 57457¹
LCM(57441,57457) = 3300387537