What is the Least Common Multiple of 24416 and 24430?

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 24416 and 24430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24416 and 24430, than apply into the LCM equation.

GCF(24416,24430) = 14
LCM(24416,24430) = ( 24416 × 24430) / 14
LCM(24416,24430) = 596482880 / 14
LCM(24416,24430) = 42605920

Least Common Multiple (LCM) of 24416 and 24430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24416 and 24430. First we will calculate the prime factors of 24416 and 24430.

Prime Factorization of 24416

Prime Factorization of 24430

Now multiplying the highest exponent prime factors to calculate the LCM of 24416 and 24430.

LCM(24416,24430) = 2⁵ × 7¹ × 109¹ × 5¹ × 349¹
LCM(24416,24430) = 42605920