What is the Least Common Multiple of 33690 and 33695?

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 33690 and 33695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33690 and 33695, than apply into the LCM equation.

GCF(33690,33695) = 5
LCM(33690,33695) = ( 33690 × 33695) / 5
LCM(33690,33695) = 1135184550 / 5
LCM(33690,33695) = 227036910

Least Common Multiple (LCM) of 33690 and 33695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33690 and 33695. First we will calculate the prime factors of 33690 and 33695.

Prime Factorization of 33690

Prime Factorization of 33695

Now multiplying the highest exponent prime factors to calculate the LCM of 33690 and 33695.

LCM(33690,33695) = 2¹ × 3¹ × 5¹ × 1123¹ × 23¹ × 293¹
LCM(33690,33695) = 227036910