GCF and LCM Calculator Logo

What is the Least Common Multiple of 27401 and 27407?

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 (LCM) of 27401 and 27407 is 750979207.

LCM(27401,27407) = 750979207

LCM Calculator and
and

Least Common Multiple of 27401 and 27407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27401 and 27407, than apply into the LCM equation.

GCF(27401,27407) = 1
LCM(27401,27407) = ( 27401 × 27407) / 1
LCM(27401,27407) = 750979207 / 1
LCM(27401,27407) = 750979207

Least Common Multiple (LCM) of 27401 and 27407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27401 and 27407. First we will calculate the prime factors of 27401 and 27407.

Prime Factorization of 27401

Prime factors of 27401 are 11, 47, 53. Prime factorization of 27401 in exponential form is:

27401 = 111 × 471 × 531

Prime Factorization of 27407

Prime factors of 27407 are 27407. Prime factorization of 27407 in exponential form is:

27407 = 274071

Now multiplying the highest exponent prime factors to calculate the LCM of 27401 and 27407.

LCM(27401,27407) = 111 × 471 × 531 × 274071
LCM(27401,27407) = 750979207