What is the Least Common Multiple of 20632 and 20642?

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 20632 and 20642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20632 and 20642, than apply into the LCM equation.

GCF(20632,20642) = 2
LCM(20632,20642) = ( 20632 × 20642) / 2
LCM(20632,20642) = 425885744 / 2
LCM(20632,20642) = 212942872

Least Common Multiple (LCM) of 20632 and 20642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20632 and 20642. First we will calculate the prime factors of 20632 and 20642.

Prime Factorization of 20632

Prime Factorization of 20642

Now multiplying the highest exponent prime factors to calculate the LCM of 20632 and 20642.

LCM(20632,20642) = 2³ × 2579¹ × 10321¹
LCM(20632,20642) = 212942872