What is the Least Common Multiple of 83814 and 83826?

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 83814 and 83826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83814 and 83826, than apply into the LCM equation.

GCF(83814,83826) = 6
LCM(83814,83826) = ( 83814 × 83826) / 6
LCM(83814,83826) = 7025792364 / 6
LCM(83814,83826) = 1170965394

Least Common Multiple (LCM) of 83814 and 83826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83814 and 83826. First we will calculate the prime factors of 83814 and 83826.

Prime Factorization of 83814

Prime Factorization of 83826

Now multiplying the highest exponent prime factors to calculate the LCM of 83814 and 83826.

LCM(83814,83826) = 2¹ × 3² × 61¹ × 229¹ × 4657¹
LCM(83814,83826) = 1170965394