What is the Least Common Multiple of 57440 and 57460?

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 57440 and 57460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57440 and 57460, than apply into the LCM equation.

GCF(57440,57460) = 20
LCM(57440,57460) = ( 57440 × 57460) / 20
LCM(57440,57460) = 3300502400 / 20
LCM(57440,57460) = 165025120

Least Common Multiple (LCM) of 57440 and 57460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57440 and 57460. First we will calculate the prime factors of 57440 and 57460.

Prime Factorization of 57440

Prime Factorization of 57460

Now multiplying the highest exponent prime factors to calculate the LCM of 57440 and 57460.

LCM(57440,57460) = 2⁵ × 5¹ × 359¹ × 13² × 17¹
LCM(57440,57460) = 165025120