What is the Least Common Multiple of 67586 and 67597?

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 67586 and 67597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67586 and 67597, than apply into the LCM equation.

GCF(67586,67597) = 1
LCM(67586,67597) = ( 67586 × 67597) / 1
LCM(67586,67597) = 4568610842 / 1
LCM(67586,67597) = 4568610842

Least Common Multiple (LCM) of 67586 and 67597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67586 and 67597. First we will calculate the prime factors of 67586 and 67597.

Prime Factorization of 67586

Prime Factorization of 67597

Now multiplying the highest exponent prime factors to calculate the LCM of 67586 and 67597.

LCM(67586,67597) = 2¹ × 47¹ × 719¹ × 23¹ × 2939¹
LCM(67586,67597) = 4568610842