What is the Least Common Multiple of 82758 and 82774?

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 82758 and 82774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82758 and 82774, than apply into the LCM equation.

GCF(82758,82774) = 2
LCM(82758,82774) = ( 82758 × 82774) / 2
LCM(82758,82774) = 6850210692 / 2
LCM(82758,82774) = 3425105346

Least Common Multiple (LCM) of 82758 and 82774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82758 and 82774. First we will calculate the prime factors of 82758 and 82774.

Prime Factorization of 82758

Prime Factorization of 82774

Now multiplying the highest exponent prime factors to calculate the LCM of 82758 and 82774.

LCM(82758,82774) = 2¹ × 3¹ × 13¹ × 1061¹ × 41387¹
LCM(82758,82774) = 3425105346