What is the Least Common Multiple of 81024 and 81035?

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 81024 and 81035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81024 and 81035, than apply into the LCM equation.

GCF(81024,81035) = 1
LCM(81024,81035) = ( 81024 × 81035) / 1
LCM(81024,81035) = 6565779840 / 1
LCM(81024,81035) = 6565779840

Least Common Multiple (LCM) of 81024 and 81035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81024 and 81035. First we will calculate the prime factors of 81024 and 81035.

Prime Factorization of 81024

Prime Factorization of 81035

Now multiplying the highest exponent prime factors to calculate the LCM of 81024 and 81035.

LCM(81024,81035) = 2⁷ × 3¹ × 211¹ × 5¹ × 19¹ × 853¹
LCM(81024,81035) = 6565779840