What is the Least Common Multiple of 6540 and 6546?

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 6540 and 6546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6540 and 6546, than apply into the LCM equation.

GCF(6540,6546) = 6
LCM(6540,6546) = ( 6540 × 6546) / 6
LCM(6540,6546) = 42810840 / 6
LCM(6540,6546) = 7135140

Least Common Multiple (LCM) of 6540 and 6546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6540 and 6546. First we will calculate the prime factors of 6540 and 6546.

Prime Factorization of 6540

Prime Factorization of 6546

Now multiplying the highest exponent prime factors to calculate the LCM of 6540 and 6546.

LCM(6540,6546) = 2² × 3¹ × 5¹ × 109¹ × 1091¹
LCM(6540,6546) = 7135140