What is the Least Common Multiple of 81218 and 81224?

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 81218 and 81224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81218 and 81224, than apply into the LCM equation.

GCF(81218,81224) = 2
LCM(81218,81224) = ( 81218 × 81224) / 2
LCM(81218,81224) = 6596850832 / 2
LCM(81218,81224) = 3298425416

Least Common Multiple (LCM) of 81218 and 81224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81218 and 81224. First we will calculate the prime factors of 81218 and 81224.

Prime Factorization of 81218

Prime Factorization of 81224

Now multiplying the highest exponent prime factors to calculate the LCM of 81218 and 81224.

LCM(81218,81224) = 2³ × 40609¹ × 11¹ × 13¹ × 71¹
LCM(81218,81224) = 3298425416