What is the Least Common Multiple of 81056 and 81075?

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 81056 and 81075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81056 and 81075, than apply into the LCM equation.

GCF(81056,81075) = 1
LCM(81056,81075) = ( 81056 × 81075) / 1
LCM(81056,81075) = 6571615200 / 1
LCM(81056,81075) = 6571615200

Least Common Multiple (LCM) of 81056 and 81075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81056 and 81075. First we will calculate the prime factors of 81056 and 81075.

Prime Factorization of 81056

Prime Factorization of 81075

Now multiplying the highest exponent prime factors to calculate the LCM of 81056 and 81075.

LCM(81056,81075) = 2⁵ × 17¹ × 149¹ × 3¹ × 5² × 23¹ × 47¹
LCM(81056,81075) = 6571615200