What is the Least Common Multiple of 22700 and 22704?

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 22700 and 22704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22700 and 22704, than apply into the LCM equation.

GCF(22700,22704) = 4
LCM(22700,22704) = ( 22700 × 22704) / 4
LCM(22700,22704) = 515380800 / 4
LCM(22700,22704) = 128845200

Least Common Multiple (LCM) of 22700 and 22704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22700 and 22704. First we will calculate the prime factors of 22700 and 22704.

Prime Factorization of 22700

Prime Factorization of 22704

Now multiplying the highest exponent prime factors to calculate the LCM of 22700 and 22704.

LCM(22700,22704) = 2⁴ × 5² × 227¹ × 3¹ × 11¹ × 43¹
LCM(22700,22704) = 128845200