What is the Least Common Multiple of 6523 and 6541?

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 6523 and 6541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6523 and 6541, than apply into the LCM equation.

GCF(6523,6541) = 1
LCM(6523,6541) = ( 6523 × 6541) / 1
LCM(6523,6541) = 42666943 / 1
LCM(6523,6541) = 42666943

Least Common Multiple (LCM) of 6523 and 6541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6523 and 6541. First we will calculate the prime factors of 6523 and 6541.

Prime Factorization of 6523

Prime Factorization of 6541

Now multiplying the highest exponent prime factors to calculate the LCM of 6523 and 6541.

LCM(6523,6541) = 11¹ × 593¹ × 31¹ × 211¹
LCM(6523,6541) = 42666943