What is the Least Common Multiple of 18486 and 18496?

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 18486 and 18496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18486 and 18496, than apply into the LCM equation.

GCF(18486,18496) = 2
LCM(18486,18496) = ( 18486 × 18496) / 2
LCM(18486,18496) = 341917056 / 2
LCM(18486,18496) = 170958528

Least Common Multiple (LCM) of 18486 and 18496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18486 and 18496. First we will calculate the prime factors of 18486 and 18496.

Prime Factorization of 18486

Prime Factorization of 18496

Now multiplying the highest exponent prime factors to calculate the LCM of 18486 and 18496.

LCM(18486,18496) = 2⁶ × 3² × 13¹ × 79¹ × 17²
LCM(18486,18496) = 170958528