What is the Least Common Multiple of 33719 and 33723?

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 33719 and 33723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33719 and 33723, than apply into the LCM equation.

GCF(33719,33723) = 1
LCM(33719,33723) = ( 33719 × 33723) / 1
LCM(33719,33723) = 1137105837 / 1
LCM(33719,33723) = 1137105837

Least Common Multiple (LCM) of 33719 and 33723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33719 and 33723. First we will calculate the prime factors of 33719 and 33723.

Prime Factorization of 33719

Prime Factorization of 33723

Now multiplying the highest exponent prime factors to calculate the LCM of 33719 and 33723.

LCM(33719,33723) = 7¹ × 4817¹ × 3³ × 1249¹
LCM(33719,33723) = 1137105837