What is the Least Common Multiple of 23088 and 23103?

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 23103 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 23103, than apply into the LCM equation.

GCF(23088,23103) = 3
LCM(23088,23103) = ( 23088 × 23103) / 3
LCM(23088,23103) = 533402064 / 3
LCM(23088,23103) = 177800688

Least Common Multiple (LCM) of 23088 and 23103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23088 and 23103. First we will calculate the prime factors of 23088 and 23103.

Prime Factorization of 23088

Prime Factorization of 23103

Now multiplying the highest exponent prime factors to calculate the LCM of 23088 and 23103.

LCM(23088,23103) = 2⁴ × 3² × 13¹ × 37¹ × 17¹ × 151¹
LCM(23088,23103) = 177800688