What is the Least Common Multiple of 20064 and 20083?

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 20083 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 20083, than apply into the LCM equation.

GCF(20064,20083) = 19
LCM(20064,20083) = ( 20064 × 20083) / 19
LCM(20064,20083) = 402945312 / 19
LCM(20064,20083) = 21207648

Least Common Multiple (LCM) of 20064 and 20083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20064 and 20083. First we will calculate the prime factors of 20064 and 20083.

Prime Factorization of 20064

Prime Factorization of 20083

Now multiplying the highest exponent prime factors to calculate the LCM of 20064 and 20083.

LCM(20064,20083) = 2⁵ × 3¹ × 11¹ × 19¹ × 7¹ × 151¹
LCM(20064,20083) = 21207648