What is the Least Common Multiple of 57440 and 57444?

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 57444 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 57444, than apply into the LCM equation.

GCF(57440,57444) = 4
LCM(57440,57444) = ( 57440 × 57444) / 4
LCM(57440,57444) = 3299583360 / 4
LCM(57440,57444) = 824895840

Least Common Multiple (LCM) of 57440 and 57444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57440 and 57444. First we will calculate the prime factors of 57440 and 57444.

Prime Factorization of 57440

Prime Factorization of 57444

Now multiplying the highest exponent prime factors to calculate the LCM of 57440 and 57444.

LCM(57440,57444) = 2⁵ × 5¹ × 359¹ × 3¹ × 4787¹
LCM(57440,57444) = 824895840