What is the Least Common Multiple of 81296 and 81310?

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 81296 and 81310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81296 and 81310, than apply into the LCM equation.

GCF(81296,81310) = 2
LCM(81296,81310) = ( 81296 × 81310) / 2
LCM(81296,81310) = 6610177760 / 2
LCM(81296,81310) = 3305088880

Least Common Multiple (LCM) of 81296 and 81310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81296 and 81310. First we will calculate the prime factors of 81296 and 81310.

Prime Factorization of 81296

Prime Factorization of 81310

Now multiplying the highest exponent prime factors to calculate the LCM of 81296 and 81310.

LCM(81296,81310) = 2⁴ × 5081¹ × 5¹ × 47¹ × 173¹
LCM(81296,81310) = 3305088880