What is the Least Common Multiple of 12416 and 12430?

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 12416 and 12430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12416 and 12430, than apply into the LCM equation.

GCF(12416,12430) = 2
LCM(12416,12430) = ( 12416 × 12430) / 2
LCM(12416,12430) = 154330880 / 2
LCM(12416,12430) = 77165440

Least Common Multiple (LCM) of 12416 and 12430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12416 and 12430. First we will calculate the prime factors of 12416 and 12430.

Prime Factorization of 12416

Prime Factorization of 12430

Now multiplying the highest exponent prime factors to calculate the LCM of 12416 and 12430.

LCM(12416,12430) = 2⁷ × 97¹ × 5¹ × 11¹ × 113¹
LCM(12416,12430) = 77165440