What is the Least Common Multiple of 81209 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 81209 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 81209 and 81224, than apply into the LCM equation.

GCF(81209,81224) = 1
LCM(81209,81224) = ( 81209 × 81224) / 1
LCM(81209,81224) = 6596119816 / 1
LCM(81209,81224) = 6596119816

Least Common Multiple (LCM) of 81209 and 81224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81209 and 81224. First we will calculate the prime factors of 81209 and 81224.

Prime Factorization of 81209

Prime Factorization of 81224

Now multiplying the highest exponent prime factors to calculate the LCM of 81209 and 81224.

LCM(81209,81224) = 17² × 281¹ × 2³ × 11¹ × 13¹ × 71¹
LCM(81209,81224) = 6596119816