What is the Least Common Multiple of 81213 and 81228?

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 81228 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 81228, than apply into the LCM equation.

GCF(81213,81228) = 3
LCM(81213,81228) = ( 81213 × 81228) / 3
LCM(81213,81228) = 6596769564 / 3
LCM(81213,81228) = 2198923188

Least Common Multiple (LCM) of 81213 and 81228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81213 and 81228. First we will calculate the prime factors of 81213 and 81228.

Prime Factorization of 81213

Prime Factorization of 81228

Now multiplying the highest exponent prime factors to calculate the LCM of 81213 and 81228.

LCM(81213,81228) = 3¹ × 11¹ × 23¹ × 107¹ × 2² × 7¹ × 967¹
LCM(81213,81228) = 2198923188