What is the Least Common Multiple of 33780 and 33792?

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 33792 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 33792, than apply into the LCM equation.

GCF(33780,33792) = 12
LCM(33780,33792) = ( 33780 × 33792) / 12
LCM(33780,33792) = 1141493760 / 12
LCM(33780,33792) = 95124480

Least Common Multiple (LCM) of 33780 and 33792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33780 and 33792. First we will calculate the prime factors of 33780 and 33792.

Prime Factorization of 33780

Prime Factorization of 33792

Now multiplying the highest exponent prime factors to calculate the LCM of 33780 and 33792.

LCM(33780,33792) = 2¹⁰ × 3¹ × 5¹ × 563¹ × 11¹
LCM(33780,33792) = 95124480