What is the Least Common Multiple of 33878 and 33888?

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 33878 and 33888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33878 and 33888, than apply into the LCM equation.

GCF(33878,33888) = 2
LCM(33878,33888) = ( 33878 × 33888) / 2
LCM(33878,33888) = 1148057664 / 2
LCM(33878,33888) = 574028832

Least Common Multiple (LCM) of 33878 and 33888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33878 and 33888. First we will calculate the prime factors of 33878 and 33888.

Prime Factorization of 33878

Prime Factorization of 33888

Now multiplying the highest exponent prime factors to calculate the LCM of 33878 and 33888.

LCM(33878,33888) = 2⁵ × 13¹ × 1303¹ × 3¹ × 353¹
LCM(33878,33888) = 574028832