What is the Least Common Multiple of 23664 and 23680?

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 23664 and 23680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23664 and 23680, than apply into the LCM equation.

GCF(23664,23680) = 16
LCM(23664,23680) = ( 23664 × 23680) / 16
LCM(23664,23680) = 560363520 / 16
LCM(23664,23680) = 35022720

Least Common Multiple (LCM) of 23664 and 23680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23664 and 23680. First we will calculate the prime factors of 23664 and 23680.

Prime Factorization of 23664

Prime Factorization of 23680

Now multiplying the highest exponent prime factors to calculate the LCM of 23664 and 23680.

LCM(23664,23680) = 2⁷ × 3¹ × 17¹ × 29¹ × 5¹ × 37¹
LCM(23664,23680) = 35022720