What is the Least Common Multiple of 33878 and 33886?

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 33886 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 33886, than apply into the LCM equation.

GCF(33878,33886) = 2
LCM(33878,33886) = ( 33878 × 33886) / 2
LCM(33878,33886) = 1147989908 / 2
LCM(33878,33886) = 573994954

Least Common Multiple (LCM) of 33878 and 33886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33878 and 33886. First we will calculate the prime factors of 33878 and 33886.

Prime Factorization of 33878

Prime Factorization of 33886

Now multiplying the highest exponent prime factors to calculate the LCM of 33878 and 33886.

LCM(33878,33886) = 2¹ × 13¹ × 1303¹ × 16943¹
LCM(33878,33886) = 573994954