What is the Least Common Multiple of 33684 and 33704?

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 33704 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 33704, than apply into the LCM equation.

GCF(33684,33704) = 4
LCM(33684,33704) = ( 33684 × 33704) / 4
LCM(33684,33704) = 1135285536 / 4
LCM(33684,33704) = 283821384

Least Common Multiple (LCM) of 33684 and 33704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33684 and 33704. First we will calculate the prime factors of 33684 and 33704.

Prime Factorization of 33684

Prime Factorization of 33704

Now multiplying the highest exponent prime factors to calculate the LCM of 33684 and 33704.

LCM(33684,33704) = 2³ × 3¹ × 7¹ × 401¹ × 11¹ × 383¹
LCM(33684,33704) = 283821384