What is the Least Common Multiple of 24352 and 24366?

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 24352 and 24366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24352 and 24366, than apply into the LCM equation.

GCF(24352,24366) = 2
LCM(24352,24366) = ( 24352 × 24366) / 2
LCM(24352,24366) = 593360832 / 2
LCM(24352,24366) = 296680416

Least Common Multiple (LCM) of 24352 and 24366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24352 and 24366. First we will calculate the prime factors of 24352 and 24366.

Prime Factorization of 24352

Prime Factorization of 24366

Now multiplying the highest exponent prime factors to calculate the LCM of 24352 and 24366.

LCM(24352,24366) = 2⁵ × 761¹ × 3¹ × 31¹ × 131¹
LCM(24352,24366) = 296680416