What is the Least Common Multiple of 27234 and 27249?

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 27234 and 27249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27234 and 27249, than apply into the LCM equation.

GCF(27234,27249) = 3
LCM(27234,27249) = ( 27234 × 27249) / 3
LCM(27234,27249) = 742099266 / 3
LCM(27234,27249) = 247366422

Least Common Multiple (LCM) of 27234 and 27249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27234 and 27249. First we will calculate the prime factors of 27234 and 27249.

Prime Factorization of 27234

Prime Factorization of 27249

Now multiplying the highest exponent prime factors to calculate the LCM of 27234 and 27249.

LCM(27234,27249) = 2¹ × 3² × 17¹ × 89¹ × 31¹ × 293¹
LCM(27234,27249) = 247366422