What is the Least Common Multiple of 11456 and 11470?

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 11456 and 11470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11456 and 11470, than apply into the LCM equation.

GCF(11456,11470) = 2
LCM(11456,11470) = ( 11456 × 11470) / 2
LCM(11456,11470) = 131400320 / 2
LCM(11456,11470) = 65700160

Least Common Multiple (LCM) of 11456 and 11470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11456 and 11470. First we will calculate the prime factors of 11456 and 11470.

Prime Factorization of 11456

Prime Factorization of 11470

Now multiplying the highest exponent prime factors to calculate the LCM of 11456 and 11470.

LCM(11456,11470) = 2⁶ × 179¹ × 5¹ × 31¹ × 37¹
LCM(11456,11470) = 65700160