What is the Least Common Multiple of 81216 and 81230?

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 81216 and 81230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81216 and 81230, than apply into the LCM equation.

GCF(81216,81230) = 2
LCM(81216,81230) = ( 81216 × 81230) / 2
LCM(81216,81230) = 6597175680 / 2
LCM(81216,81230) = 3298587840

Least Common Multiple (LCM) of 81216 and 81230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81216 and 81230. First we will calculate the prime factors of 81216 and 81230.

Prime Factorization of 81216

Prime Factorization of 81230

Now multiplying the highest exponent prime factors to calculate the LCM of 81216 and 81230.

LCM(81216,81230) = 2⁶ × 3³ × 47¹ × 5¹ × 8123¹
LCM(81216,81230) = 3298587840