What is the Least Common Multiple of 81730 and 81734?

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 81730 and 81734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81730 and 81734, than apply into the LCM equation.

GCF(81730,81734) = 2
LCM(81730,81734) = ( 81730 × 81734) / 2
LCM(81730,81734) = 6680119820 / 2
LCM(81730,81734) = 3340059910

Least Common Multiple (LCM) of 81730 and 81734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81730 and 81734. First we will calculate the prime factors of 81730 and 81734.

Prime Factorization of 81730

Prime Factorization of 81734

Now multiplying the highest exponent prime factors to calculate the LCM of 81730 and 81734.

LCM(81730,81734) = 2¹ × 5¹ × 11¹ × 743¹ × 40867¹
LCM(81730,81734) = 3340059910