What is the Least Common Multiple of 88240 and 88256?

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 88240 and 88256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88240 and 88256, than apply into the LCM equation.

GCF(88240,88256) = 16
LCM(88240,88256) = ( 88240 × 88256) / 16
LCM(88240,88256) = 7787709440 / 16
LCM(88240,88256) = 486731840

Least Common Multiple (LCM) of 88240 and 88256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88240 and 88256. First we will calculate the prime factors of 88240 and 88256.

Prime Factorization of 88240

Prime Factorization of 88256

Now multiplying the highest exponent prime factors to calculate the LCM of 88240 and 88256.

LCM(88240,88256) = 2⁶ × 5¹ × 1103¹ × 7¹ × 197¹
LCM(88240,88256) = 486731840