What is the Least Common Multiple of 43240 and 43257?

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 43240 and 43257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43240 and 43257, than apply into the LCM equation.

GCF(43240,43257) = 1
LCM(43240,43257) = ( 43240 × 43257) / 1
LCM(43240,43257) = 1870432680 / 1
LCM(43240,43257) = 1870432680

Least Common Multiple (LCM) of 43240 and 43257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43240 and 43257. First we will calculate the prime factors of 43240 and 43257.

Prime Factorization of 43240

Prime Factorization of 43257

Now multiplying the highest exponent prime factors to calculate the LCM of 43240 and 43257.

LCM(43240,43257) = 2³ × 5¹ × 23¹ × 47¹ × 3¹ × 14419¹
LCM(43240,43257) = 1870432680