What is the Least Common Multiple of 33780 and 33794?

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 33780 and 33794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33780 and 33794, than apply into the LCM equation.

GCF(33780,33794) = 2
LCM(33780,33794) = ( 33780 × 33794) / 2
LCM(33780,33794) = 1141561320 / 2
LCM(33780,33794) = 570780660

Least Common Multiple (LCM) of 33780 and 33794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33780 and 33794. First we will calculate the prime factors of 33780 and 33794.

Prime Factorization of 33780

Prime Factorization of 33794

Now multiplying the highest exponent prime factors to calculate the LCM of 33780 and 33794.

LCM(33780,33794) = 2² × 3¹ × 5¹ × 563¹ × 61¹ × 277¹
LCM(33780,33794) = 570780660