What is the Least Common Multiple of 22014 and 22032?

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 22014 and 22032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22014 and 22032, than apply into the LCM equation.

GCF(22014,22032) = 18
LCM(22014,22032) = ( 22014 × 22032) / 18
LCM(22014,22032) = 485012448 / 18
LCM(22014,22032) = 26945136

Least Common Multiple (LCM) of 22014 and 22032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22014 and 22032. First we will calculate the prime factors of 22014 and 22032.

Prime Factorization of 22014

Prime Factorization of 22032

Now multiplying the highest exponent prime factors to calculate the LCM of 22014 and 22032.

LCM(22014,22032) = 2⁴ × 3⁴ × 1223¹ × 17¹
LCM(22014,22032) = 26945136