What is the Least Common Multiple of 56240 and 56256?

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 56240 and 56256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56240 and 56256, than apply into the LCM equation.

GCF(56240,56256) = 16
LCM(56240,56256) = ( 56240 × 56256) / 16
LCM(56240,56256) = 3163837440 / 16
LCM(56240,56256) = 197739840

Least Common Multiple (LCM) of 56240 and 56256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56240 and 56256. First we will calculate the prime factors of 56240 and 56256.

Prime Factorization of 56240

Prime Factorization of 56256

Now multiplying the highest exponent prime factors to calculate the LCM of 56240 and 56256.

LCM(56240,56256) = 2⁶ × 5¹ × 19¹ × 37¹ × 3¹ × 293¹
LCM(56240,56256) = 197739840