What is the Least Common Multiple of 57420 and 57440?

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 57420 and 57440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57420 and 57440, than apply into the LCM equation.

GCF(57420,57440) = 20
LCM(57420,57440) = ( 57420 × 57440) / 20
LCM(57420,57440) = 3298204800 / 20
LCM(57420,57440) = 164910240

Least Common Multiple (LCM) of 57420 and 57440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57420 and 57440. First we will calculate the prime factors of 57420 and 57440.

Prime Factorization of 57420

Prime Factorization of 57440

Now multiplying the highest exponent prime factors to calculate the LCM of 57420 and 57440.

LCM(57420,57440) = 2⁵ × 3² × 5¹ × 11¹ × 29¹ × 359¹
LCM(57420,57440) = 164910240