What is the Least Common Multiple of 33810 and 33822?

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 33810 and 33822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33810 and 33822, than apply into the LCM equation.

GCF(33810,33822) = 6
LCM(33810,33822) = ( 33810 × 33822) / 6
LCM(33810,33822) = 1143521820 / 6
LCM(33810,33822) = 190586970

Least Common Multiple (LCM) of 33810 and 33822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33810 and 33822. First we will calculate the prime factors of 33810 and 33822.

Prime Factorization of 33810

Prime Factorization of 33822

Now multiplying the highest exponent prime factors to calculate the LCM of 33810 and 33822.

LCM(33810,33822) = 2¹ × 3² × 5¹ × 7² × 23¹ × 1879¹
LCM(33810,33822) = 190586970