What is the Least Common Multiple of 33688 and 33696?

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 33688 and 33696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33688 and 33696, than apply into the LCM equation.

GCF(33688,33696) = 8
LCM(33688,33696) = ( 33688 × 33696) / 8
LCM(33688,33696) = 1135150848 / 8
LCM(33688,33696) = 141893856

Least Common Multiple (LCM) of 33688 and 33696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33688 and 33696. First we will calculate the prime factors of 33688 and 33696.

Prime Factorization of 33688

Prime Factorization of 33696

Now multiplying the highest exponent prime factors to calculate the LCM of 33688 and 33696.

LCM(33688,33696) = 2⁵ × 4211¹ × 3⁴ × 13¹
LCM(33688,33696) = 141893856