What is the Least Common Multiple of 24380 and 24384?

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 24380 and 24384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24380 and 24384, than apply into the LCM equation.

GCF(24380,24384) = 4
LCM(24380,24384) = ( 24380 × 24384) / 4
LCM(24380,24384) = 594481920 / 4
LCM(24380,24384) = 148620480

Least Common Multiple (LCM) of 24380 and 24384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24380 and 24384. First we will calculate the prime factors of 24380 and 24384.

Prime Factorization of 24380

Prime Factorization of 24384

Now multiplying the highest exponent prime factors to calculate the LCM of 24380 and 24384.

LCM(24380,24384) = 2⁶ × 5¹ × 23¹ × 53¹ × 3¹ × 127¹
LCM(24380,24384) = 148620480