What is the Least Common Multiple of 13664 and 13668?

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 13664 and 13668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13664 and 13668, than apply into the LCM equation.

GCF(13664,13668) = 4
LCM(13664,13668) = ( 13664 × 13668) / 4
LCM(13664,13668) = 186759552 / 4
LCM(13664,13668) = 46689888

Least Common Multiple (LCM) of 13664 and 13668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13664 and 13668. First we will calculate the prime factors of 13664 and 13668.

Prime Factorization of 13664

Prime Factorization of 13668

Now multiplying the highest exponent prime factors to calculate the LCM of 13664 and 13668.

LCM(13664,13668) = 2⁵ × 7¹ × 61¹ × 3¹ × 17¹ × 67¹
LCM(13664,13668) = 46689888