What is the Least Common Multiple of 20064 and 20084?

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 20064 and 20084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20064 and 20084, than apply into the LCM equation.

GCF(20064,20084) = 4
LCM(20064,20084) = ( 20064 × 20084) / 4
LCM(20064,20084) = 402965376 / 4
LCM(20064,20084) = 100741344

Least Common Multiple (LCM) of 20064 and 20084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20064 and 20084. First we will calculate the prime factors of 20064 and 20084.

Prime Factorization of 20064

Prime Factorization of 20084

Now multiplying the highest exponent prime factors to calculate the LCM of 20064 and 20084.

LCM(20064,20084) = 2⁵ × 3¹ × 11¹ × 19¹ × 5021¹
LCM(20064,20084) = 100741344