What is the Least Common Multiple of 6570 and 6586?

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 6570 and 6586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6570 and 6586, than apply into the LCM equation.

GCF(6570,6586) = 2
LCM(6570,6586) = ( 6570 × 6586) / 2
LCM(6570,6586) = 43270020 / 2
LCM(6570,6586) = 21635010

Least Common Multiple (LCM) of 6570 and 6586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6570 and 6586. First we will calculate the prime factors of 6570 and 6586.

Prime Factorization of 6570

Prime Factorization of 6586

Now multiplying the highest exponent prime factors to calculate the LCM of 6570 and 6586.

LCM(6570,6586) = 2¹ × 3² × 5¹ × 73¹ × 37¹ × 89¹
LCM(6570,6586) = 21635010