What is the Least Common Multiple of 67568 and 67586?

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 67568 and 67586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67568 and 67586, than apply into the LCM equation.

GCF(67568,67586) = 2
LCM(67568,67586) = ( 67568 × 67586) / 2
LCM(67568,67586) = 4566650848 / 2
LCM(67568,67586) = 2283325424

Least Common Multiple (LCM) of 67568 and 67586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67568 and 67586. First we will calculate the prime factors of 67568 and 67586.

Prime Factorization of 67568

Prime Factorization of 67586

Now multiplying the highest exponent prime factors to calculate the LCM of 67568 and 67586.

LCM(67568,67586) = 2⁴ × 41¹ × 103¹ × 47¹ × 719¹
LCM(67568,67586) = 2283325424