What is the Least Common Multiple of 6704 and 6722?

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 6704 and 6722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6704 and 6722, than apply into the LCM equation.

GCF(6704,6722) = 2
LCM(6704,6722) = ( 6704 × 6722) / 2
LCM(6704,6722) = 45064288 / 2
LCM(6704,6722) = 22532144

Least Common Multiple (LCM) of 6704 and 6722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6704 and 6722. First we will calculate the prime factors of 6704 and 6722.

Prime Factorization of 6704

Prime Factorization of 6722

Now multiplying the highest exponent prime factors to calculate the LCM of 6704 and 6722.

LCM(6704,6722) = 2⁴ × 419¹ × 3361¹
LCM(6704,6722) = 22532144