What is the Least Common Multiple of 81218 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 81218 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 81218 and 81230, than apply into the LCM equation.

GCF(81218,81230) = 2
LCM(81218,81230) = ( 81218 × 81230) / 2
LCM(81218,81230) = 6597338140 / 2
LCM(81218,81230) = 3298669070

Least Common Multiple (LCM) of 81218 and 81230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81218 and 81230. First we will calculate the prime factors of 81218 and 81230.

Prime Factorization of 81218

Prime Factorization of 81230

Now multiplying the highest exponent prime factors to calculate the LCM of 81218 and 81230.

LCM(81218,81230) = 2¹ × 40609¹ × 5¹ × 8123¹
LCM(81218,81230) = 3298669070