GCF and LCM Calculator Logo

What is the Least Common Multiple of 6562 and 6581?

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 6562 and 6581 is 43184522.

LCM(6562,6581) = 43184522

LCM Calculator and
and

Least Common Multiple of 6562 and 6581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6562 and 6581, than apply into the LCM equation.

GCF(6562,6581) = 1
LCM(6562,6581) = ( 6562 × 6581) / 1
LCM(6562,6581) = 43184522 / 1
LCM(6562,6581) = 43184522

Least Common Multiple (LCM) of 6562 and 6581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6562 and 6581. First we will calculate the prime factors of 6562 and 6581.

Prime Factorization of 6562

Prime factors of 6562 are 2, 17, 193. Prime factorization of 6562 in exponential form is:

6562 = 21 × 171 × 1931

Prime Factorization of 6581

Prime factors of 6581 are 6581. Prime factorization of 6581 in exponential form is:

6581 = 65811

Now multiplying the highest exponent prime factors to calculate the LCM of 6562 and 6581.

LCM(6562,6581) = 21 × 171 × 1931 × 65811
LCM(6562,6581) = 43184522