What is the Least Common Multiple of 57040 and 57048?

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 57040 and 57048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57040 and 57048, than apply into the LCM equation.

GCF(57040,57048) = 8
LCM(57040,57048) = ( 57040 × 57048) / 8
LCM(57040,57048) = 3254017920 / 8
LCM(57040,57048) = 406752240

Least Common Multiple (LCM) of 57040 and 57048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57040 and 57048. First we will calculate the prime factors of 57040 and 57048.

Prime Factorization of 57040

Prime Factorization of 57048

Now multiplying the highest exponent prime factors to calculate the LCM of 57040 and 57048.

LCM(57040,57048) = 2⁴ × 5¹ × 23¹ × 31¹ × 3¹ × 2377¹
LCM(57040,57048) = 406752240