What is the Least Common Multiple of 62382 and 62386?

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 62382 and 62386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62382 and 62386, than apply into the LCM equation.

GCF(62382,62386) = 2
LCM(62382,62386) = ( 62382 × 62386) / 2
LCM(62382,62386) = 3891763452 / 2
LCM(62382,62386) = 1945881726

Least Common Multiple (LCM) of 62382 and 62386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62382 and 62386. First we will calculate the prime factors of 62382 and 62386.

Prime Factorization of 62382

Prime Factorization of 62386

Now multiplying the highest exponent prime factors to calculate the LCM of 62382 and 62386.

LCM(62382,62386) = 2¹ × 3¹ × 37¹ × 281¹ × 31193¹
LCM(62382,62386) = 1945881726