What is the Least Common Multiple of 6696 and 6704?

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 6696 and 6704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6696 and 6704, than apply into the LCM equation.

GCF(6696,6704) = 8
LCM(6696,6704) = ( 6696 × 6704) / 8
LCM(6696,6704) = 44889984 / 8
LCM(6696,6704) = 5611248

Least Common Multiple (LCM) of 6696 and 6704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6696 and 6704. First we will calculate the prime factors of 6696 and 6704.

Prime Factorization of 6696

Prime Factorization of 6704

Now multiplying the highest exponent prime factors to calculate the LCM of 6696 and 6704.

LCM(6696,6704) = 2⁴ × 3³ × 31¹ × 419¹
LCM(6696,6704) = 5611248