What is the Least Common Multiple of 27312 and 27319?

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 27312 and 27319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27312 and 27319, than apply into the LCM equation.

GCF(27312,27319) = 1
LCM(27312,27319) = ( 27312 × 27319) / 1
LCM(27312,27319) = 746136528 / 1
LCM(27312,27319) = 746136528

Least Common Multiple (LCM) of 27312 and 27319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27312 and 27319. First we will calculate the prime factors of 27312 and 27319.

Prime Factorization of 27312

Prime Factorization of 27319

Now multiplying the highest exponent prime factors to calculate the LCM of 27312 and 27319.

LCM(27312,27319) = 2⁴ × 3¹ × 569¹ × 17¹ × 1607¹
LCM(27312,27319) = 746136528