What is the Least Common Multiple of 22458 and 22467?

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 22458 and 22467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22458 and 22467, than apply into the LCM equation.

GCF(22458,22467) = 3
LCM(22458,22467) = ( 22458 × 22467) / 3
LCM(22458,22467) = 504563886 / 3
LCM(22458,22467) = 168187962

Least Common Multiple (LCM) of 22458 and 22467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22458 and 22467. First we will calculate the prime factors of 22458 and 22467.

Prime Factorization of 22458

Prime Factorization of 22467

Now multiplying the highest exponent prime factors to calculate the LCM of 22458 and 22467.

LCM(22458,22467) = 2¹ × 3¹ × 19¹ × 197¹ × 7489¹
LCM(22458,22467) = 168187962