GCF and LCM Calculator Logo

What is the Least Common Multiple of 6592 and 6600?

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 (LCM) of 6592 and 6600 is 5438400.

LCM(6592,6600) = 5438400

LCM Calculator and
and

Least Common Multiple of 6592 and 6600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6592 and 6600, than apply into the LCM equation.

GCF(6592,6600) = 8
LCM(6592,6600) = ( 6592 × 6600) / 8
LCM(6592,6600) = 43507200 / 8
LCM(6592,6600) = 5438400

Least Common Multiple (LCM) of 6592 and 6600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6592 and 6600. First we will calculate the prime factors of 6592 and 6600.

Prime Factorization of 6592

Prime factors of 6592 are 2, 103. Prime factorization of 6592 in exponential form is:

6592 = 26 × 1031

Prime Factorization of 6600

Prime factors of 6600 are 2, 3, 5, 11. Prime factorization of 6600 in exponential form is:

6600 = 23 × 31 × 52 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 6592 and 6600.

LCM(6592,6600) = 26 × 1031 × 31 × 52 × 111
LCM(6592,6600) = 5438400