What is the Least Common Multiple of 33919 and 33931?

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 33919 and 33931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33919 and 33931, than apply into the LCM equation.

GCF(33919,33931) = 1
LCM(33919,33931) = ( 33919 × 33931) / 1
LCM(33919,33931) = 1150905589 / 1
LCM(33919,33931) = 1150905589

Least Common Multiple (LCM) of 33919 and 33931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33919 and 33931. First we will calculate the prime factors of 33919 and 33931.

Prime Factorization of 33919

Prime Factorization of 33931

Now multiplying the highest exponent prime factors to calculate the LCM of 33919 and 33931.

LCM(33919,33931) = 107¹ × 317¹ × 33931¹
LCM(33919,33931) = 1150905589