What is the Least Common Multiple of 83854 and 83862?

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 83854 and 83862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83854 and 83862, than apply into the LCM equation.

GCF(83854,83862) = 2
LCM(83854,83862) = ( 83854 × 83862) / 2
LCM(83854,83862) = 7032164148 / 2
LCM(83854,83862) = 3516082074

Least Common Multiple (LCM) of 83854 and 83862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83854 and 83862. First we will calculate the prime factors of 83854 and 83862.

Prime Factorization of 83854

Prime Factorization of 83862

Now multiplying the highest exponent prime factors to calculate the LCM of 83854 and 83862.

LCM(83854,83862) = 2¹ × 41927¹ × 3³ × 1553¹
LCM(83854,83862) = 3516082074