What is the Least Common Multiple of 33780 and 33790?

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 33790 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 33790, than apply into the LCM equation.

GCF(33780,33790) = 10
LCM(33780,33790) = ( 33780 × 33790) / 10
LCM(33780,33790) = 1141426200 / 10
LCM(33780,33790) = 114142620

Least Common Multiple (LCM) of 33780 and 33790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33780 and 33790. First we will calculate the prime factors of 33780 and 33790.

Prime Factorization of 33780

Prime Factorization of 33790

Now multiplying the highest exponent prime factors to calculate the LCM of 33780 and 33790.

LCM(33780,33790) = 2² × 3¹ × 5¹ × 563¹ × 31¹ × 109¹
LCM(33780,33790) = 114142620