What is the Least Common Multiple of 88256 and 88274?

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 88256 and 88274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88256 and 88274, than apply into the LCM equation.

GCF(88256,88274) = 2
LCM(88256,88274) = ( 88256 × 88274) / 2
LCM(88256,88274) = 7790710144 / 2
LCM(88256,88274) = 3895355072

Least Common Multiple (LCM) of 88256 and 88274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88256 and 88274. First we will calculate the prime factors of 88256 and 88274.

Prime Factorization of 88256

Prime Factorization of 88274

Now multiplying the highest exponent prime factors to calculate the LCM of 88256 and 88274.

LCM(88256,88274) = 2⁶ × 7¹ × 197¹ × 19¹ × 23¹ × 101¹
LCM(88256,88274) = 3895355072