What is the Least Common Multiple of 81213 and 81218?

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 81213 and 81218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81213 and 81218, than apply into the LCM equation.

GCF(81213,81218) = 1
LCM(81213,81218) = ( 81213 × 81218) / 1
LCM(81213,81218) = 6595957434 / 1
LCM(81213,81218) = 6595957434

Least Common Multiple (LCM) of 81213 and 81218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81213 and 81218. First we will calculate the prime factors of 81213 and 81218.

Prime Factorization of 81213

Prime Factorization of 81218

Now multiplying the highest exponent prime factors to calculate the LCM of 81213 and 81218.

LCM(81213,81218) = 3¹ × 11¹ × 23¹ × 107¹ × 2¹ × 40609¹
LCM(81213,81218) = 6595957434