What is the Least Common Multiple of 33780 and 33785?

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 33785 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 33785, than apply into the LCM equation.

GCF(33780,33785) = 5
LCM(33780,33785) = ( 33780 × 33785) / 5
LCM(33780,33785) = 1141257300 / 5
LCM(33780,33785) = 228251460

Least Common Multiple (LCM) of 33780 and 33785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33780 and 33785. First we will calculate the prime factors of 33780 and 33785.

Prime Factorization of 33780

Prime Factorization of 33785

Now multiplying the highest exponent prime factors to calculate the LCM of 33780 and 33785.

LCM(33780,33785) = 2² × 3¹ × 5¹ × 563¹ × 29¹ × 233¹
LCM(33780,33785) = 228251460