What is the Least Common Multiple of 11472 and 11492?

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 11472 and 11492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11472 and 11492, than apply into the LCM equation.

GCF(11472,11492) = 4
LCM(11472,11492) = ( 11472 × 11492) / 4
LCM(11472,11492) = 131836224 / 4
LCM(11472,11492) = 32959056

Least Common Multiple (LCM) of 11472 and 11492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11472 and 11492. First we will calculate the prime factors of 11472 and 11492.

Prime Factorization of 11472

Prime Factorization of 11492

Now multiplying the highest exponent prime factors to calculate the LCM of 11472 and 11492.

LCM(11472,11492) = 2⁴ × 3¹ × 239¹ × 13² × 17¹
LCM(11472,11492) = 32959056