What is the Least Common Multiple of 22104 and 22119?

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 22104 and 22119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22104 and 22119, than apply into the LCM equation.

GCF(22104,22119) = 3
LCM(22104,22119) = ( 22104 × 22119) / 3
LCM(22104,22119) = 488918376 / 3
LCM(22104,22119) = 162972792

Least Common Multiple (LCM) of 22104 and 22119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22104 and 22119. First we will calculate the prime factors of 22104 and 22119.

Prime Factorization of 22104

Prime Factorization of 22119

Now multiplying the highest exponent prime factors to calculate the LCM of 22104 and 22119.

LCM(22104,22119) = 2³ × 3² × 307¹ × 73¹ × 101¹
LCM(22104,22119) = 162972792