What is the Least Common Multiple of 6546 and 6566?

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 6546 and 6566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6546 and 6566, than apply into the LCM equation.

GCF(6546,6566) = 2
LCM(6546,6566) = ( 6546 × 6566) / 2
LCM(6546,6566) = 42981036 / 2
LCM(6546,6566) = 21490518

Least Common Multiple (LCM) of 6546 and 6566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6546 and 6566. First we will calculate the prime factors of 6546 and 6566.

Prime Factorization of 6546

Prime Factorization of 6566

Now multiplying the highest exponent prime factors to calculate the LCM of 6546 and 6566.

LCM(6546,6566) = 2¹ × 3¹ × 1091¹ × 7² × 67¹
LCM(6546,6566) = 21490518