What is the Least Common Multiple of 57408 and 57418?

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 57408 and 57418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57408 and 57418, than apply into the LCM equation.

GCF(57408,57418) = 2
LCM(57408,57418) = ( 57408 × 57418) / 2
LCM(57408,57418) = 3296252544 / 2
LCM(57408,57418) = 1648126272

Least Common Multiple (LCM) of 57408 and 57418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57408 and 57418. First we will calculate the prime factors of 57408 and 57418.

Prime Factorization of 57408

Prime Factorization of 57418

Now multiplying the highest exponent prime factors to calculate the LCM of 57408 and 57418.

LCM(57408,57418) = 2⁶ × 3¹ × 13¹ × 23¹ × 19¹ × 1511¹
LCM(57408,57418) = 1648126272