What is the Least Common Multiple of 82714 and 82734?

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 82714 and 82734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82714 and 82734, than apply into the LCM equation.

GCF(82714,82734) = 2
LCM(82714,82734) = ( 82714 × 82734) / 2
LCM(82714,82734) = 6843260076 / 2
LCM(82714,82734) = 3421630038

Least Common Multiple (LCM) of 82714 and 82734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82714 and 82734. First we will calculate the prime factors of 82714 and 82734.

Prime Factorization of 82714

Prime Factorization of 82734

Now multiplying the highest exponent prime factors to calculate the LCM of 82714 and 82734.

LCM(82714,82734) = 2¹ × 41357¹ × 3¹ × 13789¹
LCM(82714,82734) = 3421630038