What is the Least Common Multiple of 20638 and 20656?

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 20656 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 20656, than apply into the LCM equation.

GCF(20638,20656) = 2
LCM(20638,20656) = ( 20638 × 20656) / 2
LCM(20638,20656) = 426298528 / 2
LCM(20638,20656) = 213149264

Least Common Multiple (LCM) of 20638 and 20656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20638 and 20656. First we will calculate the prime factors of 20638 and 20656.

Prime Factorization of 20638

Prime Factorization of 20656

Now multiplying the highest exponent prime factors to calculate the LCM of 20638 and 20656.

LCM(20638,20656) = 2⁴ × 17¹ × 607¹ × 1291¹
LCM(20638,20656) = 213149264