What is the Least Common Multiple of 33684 and 33693?

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 33684 and 33693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33684 and 33693, than apply into the LCM equation.

GCF(33684,33693) = 3
LCM(33684,33693) = ( 33684 × 33693) / 3
LCM(33684,33693) = 1134915012 / 3
LCM(33684,33693) = 378305004

Least Common Multiple (LCM) of 33684 and 33693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33684 and 33693. First we will calculate the prime factors of 33684 and 33693.

Prime Factorization of 33684

Prime Factorization of 33693

Now multiplying the highest exponent prime factors to calculate the LCM of 33684 and 33693.

LCM(33684,33693) = 2² × 3¹ × 7¹ × 401¹ × 11¹ × 1021¹
LCM(33684,33693) = 378305004