GCF and LCM Calculator Logo

What is the Least Common Multiple of 1401 and 1407?

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 1401 and 1407 is 657069.

LCM(1401,1407) = 657069

LCM Calculator and
and

Least Common Multiple of 1401 and 1407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1401 and 1407, than apply into the LCM equation.

GCF(1401,1407) = 3
LCM(1401,1407) = ( 1401 × 1407) / 3
LCM(1401,1407) = 1971207 / 3
LCM(1401,1407) = 657069

Least Common Multiple (LCM) of 1401 and 1407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1401 and 1407. First we will calculate the prime factors of 1401 and 1407.

Prime Factorization of 1401

Prime factors of 1401 are 3, 467. Prime factorization of 1401 in exponential form is:

1401 = 31 × 4671

Prime Factorization of 1407

Prime factors of 1407 are 3, 7, 67. Prime factorization of 1407 in exponential form is:

1407 = 31 × 71 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 1401 and 1407.

LCM(1401,1407) = 31 × 4671 × 71 × 671
LCM(1401,1407) = 657069