What is the Least Common Multiple of 23488 and 23496?

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 23488 and 23496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23488 and 23496, than apply into the LCM equation.

GCF(23488,23496) = 8
LCM(23488,23496) = ( 23488 × 23496) / 8
LCM(23488,23496) = 551874048 / 8
LCM(23488,23496) = 68984256

Least Common Multiple (LCM) of 23488 and 23496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23488 and 23496. First we will calculate the prime factors of 23488 and 23496.

Prime Factorization of 23488

Prime Factorization of 23496

Now multiplying the highest exponent prime factors to calculate the LCM of 23488 and 23496.

LCM(23488,23496) = 2⁶ × 367¹ × 3¹ × 11¹ × 89¹
LCM(23488,23496) = 68984256