What is the Least Common Multiple of 20638 and 20655?

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 20638 and 20655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20638 and 20655, than apply into the LCM equation.

GCF(20638,20655) = 17
LCM(20638,20655) = ( 20638 × 20655) / 17
LCM(20638,20655) = 426277890 / 17
LCM(20638,20655) = 25075170

Least Common Multiple (LCM) of 20638 and 20655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20638 and 20655. First we will calculate the prime factors of 20638 and 20655.

Prime Factorization of 20638

Prime Factorization of 20655

Now multiplying the highest exponent prime factors to calculate the LCM of 20638 and 20655.

LCM(20638,20655) = 2¹ × 17¹ × 607¹ × 3⁵ × 5¹
LCM(20638,20655) = 25075170