What is the Least Common Multiple of 27104 and 27119?

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 27104 and 27119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27104 and 27119, than apply into the LCM equation.

GCF(27104,27119) = 1
LCM(27104,27119) = ( 27104 × 27119) / 1
LCM(27104,27119) = 735033376 / 1
LCM(27104,27119) = 735033376

Least Common Multiple (LCM) of 27104 and 27119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27104 and 27119. First we will calculate the prime factors of 27104 and 27119.

Prime Factorization of 27104

Prime Factorization of 27119

Now multiplying the highest exponent prime factors to calculate the LCM of 27104 and 27119.

LCM(27104,27119) = 2⁵ × 7¹ × 11² × 47¹ × 577¹
LCM(27104,27119) = 735033376