What is the Least Common Multiple of 27319 and 27333?

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 27319 and 27333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27319 and 27333, than apply into the LCM equation.

GCF(27319,27333) = 1
LCM(27319,27333) = ( 27319 × 27333) / 1
LCM(27319,27333) = 746710227 / 1
LCM(27319,27333) = 746710227

Least Common Multiple (LCM) of 27319 and 27333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27319 and 27333. First we will calculate the prime factors of 27319 and 27333.

Prime Factorization of 27319

Prime Factorization of 27333

Now multiplying the highest exponent prime factors to calculate the LCM of 27319 and 27333.

LCM(27319,27333) = 17¹ × 1607¹ × 3² × 3037¹
LCM(27319,27333) = 746710227