What is the Least Common Multiple of 6537 and 6543?

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 6537 and 6543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6537 and 6543, than apply into the LCM equation.

GCF(6537,6543) = 3
LCM(6537,6543) = ( 6537 × 6543) / 3
LCM(6537,6543) = 42771591 / 3
LCM(6537,6543) = 14257197

Least Common Multiple (LCM) of 6537 and 6543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6537 and 6543. First we will calculate the prime factors of 6537 and 6543.

Prime Factorization of 6537

Prime Factorization of 6543

Now multiplying the highest exponent prime factors to calculate the LCM of 6537 and 6543.

LCM(6537,6543) = 3² × 2179¹ × 727¹
LCM(6537,6543) = 14257197