What is the Least Common Multiple of 82778 and 82790?

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 82778 and 82790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82778 and 82790, than apply into the LCM equation.

GCF(82778,82790) = 2
LCM(82778,82790) = ( 82778 × 82790) / 2
LCM(82778,82790) = 6853190620 / 2
LCM(82778,82790) = 3426595310

Least Common Multiple (LCM) of 82778 and 82790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82778 and 82790. First we will calculate the prime factors of 82778 and 82790.

Prime Factorization of 82778

Prime Factorization of 82790

Now multiplying the highest exponent prime factors to calculate the LCM of 82778 and 82790.

LCM(82778,82790) = 2¹ × 41389¹ × 5¹ × 17¹ × 487¹
LCM(82778,82790) = 3426595310