What is the Least Common Multiple of 57440 and 57448?

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 57448 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 57448, than apply into the LCM equation.

GCF(57440,57448) = 8
LCM(57440,57448) = ( 57440 × 57448) / 8
LCM(57440,57448) = 3299813120 / 8
LCM(57440,57448) = 412476640

Least Common Multiple (LCM) of 57440 and 57448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57440 and 57448. First we will calculate the prime factors of 57440 and 57448.

Prime Factorization of 57440

Prime Factorization of 57448

Now multiplying the highest exponent prime factors to calculate the LCM of 57440 and 57448.

LCM(57440,57448) = 2⁵ × 5¹ × 359¹ × 43¹ × 167¹
LCM(57440,57448) = 412476640