What is the Least Common Multiple of 22065 and 22083?

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 22065 and 22083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22065 and 22083, than apply into the LCM equation.

GCF(22065,22083) = 3
LCM(22065,22083) = ( 22065 × 22083) / 3
LCM(22065,22083) = 487261395 / 3
LCM(22065,22083) = 162420465

Least Common Multiple (LCM) of 22065 and 22083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22065 and 22083. First we will calculate the prime factors of 22065 and 22083.

Prime Factorization of 22065

Prime Factorization of 22083

Now multiplying the highest exponent prime factors to calculate the LCM of 22065 and 22083.

LCM(22065,22083) = 3¹ × 5¹ × 1471¹ × 17¹ × 433¹
LCM(22065,22083) = 162420465