What is the Least Common Multiple of 23470 and 23488?

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 23470 and 23488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23470 and 23488, than apply into the LCM equation.

GCF(23470,23488) = 2
LCM(23470,23488) = ( 23470 × 23488) / 2
LCM(23470,23488) = 551263360 / 2
LCM(23470,23488) = 275631680

Least Common Multiple (LCM) of 23470 and 23488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23470 and 23488. First we will calculate the prime factors of 23470 and 23488.

Prime Factorization of 23470

Prime Factorization of 23488

Now multiplying the highest exponent prime factors to calculate the LCM of 23470 and 23488.

LCM(23470,23488) = 2⁶ × 5¹ × 2347¹ × 367¹
LCM(23470,23488) = 275631680