What is the Least Common Multiple of 23088 and 23100?

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 23088 and 23100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23088 and 23100, than apply into the LCM equation.

GCF(23088,23100) = 12
LCM(23088,23100) = ( 23088 × 23100) / 12
LCM(23088,23100) = 533332800 / 12
LCM(23088,23100) = 44444400

Least Common Multiple (LCM) of 23088 and 23100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23088 and 23100. First we will calculate the prime factors of 23088 and 23100.

Prime Factorization of 23088

Prime Factorization of 23100

Now multiplying the highest exponent prime factors to calculate the LCM of 23088 and 23100.

LCM(23088,23100) = 2⁴ × 3¹ × 13¹ × 37¹ × 5² × 7¹ × 11¹
LCM(23088,23100) = 44444400