What is the Least Common Multiple of 33886 and 33902?

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 33886 and 33902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33886 and 33902, than apply into the LCM equation.

GCF(33886,33902) = 2
LCM(33886,33902) = ( 33886 × 33902) / 2
LCM(33886,33902) = 1148803172 / 2
LCM(33886,33902) = 574401586

Least Common Multiple (LCM) of 33886 and 33902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33886 and 33902. First we will calculate the prime factors of 33886 and 33902.

Prime Factorization of 33886

Prime Factorization of 33902

Now multiplying the highest exponent prime factors to calculate the LCM of 33886 and 33902.

LCM(33886,33902) = 2¹ × 16943¹ × 11¹ × 23¹ × 67¹
LCM(33886,33902) = 574401586