What is the Least Common Multiple of 22083 and 22102?

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 22083 and 22102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22083 and 22102, than apply into the LCM equation.

GCF(22083,22102) = 1
LCM(22083,22102) = ( 22083 × 22102) / 1
LCM(22083,22102) = 488078466 / 1
LCM(22083,22102) = 488078466

Least Common Multiple (LCM) of 22083 and 22102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22083 and 22102. First we will calculate the prime factors of 22083 and 22102.

Prime Factorization of 22083

Prime Factorization of 22102

Now multiplying the highest exponent prime factors to calculate the LCM of 22083 and 22102.

LCM(22083,22102) = 3¹ × 17¹ × 433¹ × 2¹ × 43¹ × 257¹
LCM(22083,22102) = 488078466