What is the Least Common Multiple of 22899 and 22914?

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 22899 and 22914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22899 and 22914, than apply into the LCM equation.

GCF(22899,22914) = 3
LCM(22899,22914) = ( 22899 × 22914) / 3
LCM(22899,22914) = 524707686 / 3
LCM(22899,22914) = 174902562

Least Common Multiple (LCM) of 22899 and 22914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22899 and 22914. First we will calculate the prime factors of 22899 and 22914.

Prime Factorization of 22899

Prime Factorization of 22914

Now multiplying the highest exponent prime factors to calculate the LCM of 22899 and 22914.

LCM(22899,22914) = 3² × 17¹ × 449¹ × 2¹ × 19¹ × 67¹
LCM(22899,22914) = 174902562