What is the Least Common Multiple of 33664 and 33668?

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 33664 and 33668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33664 and 33668, than apply into the LCM equation.

GCF(33664,33668) = 4
LCM(33664,33668) = ( 33664 × 33668) / 4
LCM(33664,33668) = 1133399552 / 4
LCM(33664,33668) = 283349888

Least Common Multiple (LCM) of 33664 and 33668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33664 and 33668. First we will calculate the prime factors of 33664 and 33668.

Prime Factorization of 33664

Prime Factorization of 33668

Now multiplying the highest exponent prime factors to calculate the LCM of 33664 and 33668.

LCM(33664,33668) = 2⁷ × 263¹ × 19¹ × 443¹
LCM(33664,33668) = 283349888