What is the Least Common Multiple of 48569 and 48586?

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 48569 and 48586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48569 and 48586, than apply into the LCM equation.

GCF(48569,48586) = 17
LCM(48569,48586) = ( 48569 × 48586) / 17
LCM(48569,48586) = 2359773434 / 17
LCM(48569,48586) = 138810202

Least Common Multiple (LCM) of 48569 and 48586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48569 and 48586. First we will calculate the prime factors of 48569 and 48586.

Prime Factorization of 48569

Prime Factorization of 48586

Now multiplying the highest exponent prime factors to calculate the LCM of 48569 and 48586.

LCM(48569,48586) = 17¹ × 2857¹ × 2¹ × 1429¹
LCM(48569,48586) = 138810202