What is the Least Common Multiple of 20608 and 20628?

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 20608 and 20628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20608 and 20628, than apply into the LCM equation.

GCF(20608,20628) = 4
LCM(20608,20628) = ( 20608 × 20628) / 4
LCM(20608,20628) = 425101824 / 4
LCM(20608,20628) = 106275456

Least Common Multiple (LCM) of 20608 and 20628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20608 and 20628. First we will calculate the prime factors of 20608 and 20628.

Prime Factorization of 20608

Prime Factorization of 20628

Now multiplying the highest exponent prime factors to calculate the LCM of 20608 and 20628.

LCM(20608,20628) = 2⁷ × 7¹ × 23¹ × 3³ × 191¹
LCM(20608,20628) = 106275456