GCF and LCM Calculator Logo

What is the Least Common Multiple of 1402 and 1406?

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 1402 and 1406 is 985606.

LCM(1402,1406) = 985606

LCM Calculator and
and

Least Common Multiple of 1402 and 1406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1402 and 1406, than apply into the LCM equation.

GCF(1402,1406) = 2
LCM(1402,1406) = ( 1402 × 1406) / 2
LCM(1402,1406) = 1971212 / 2
LCM(1402,1406) = 985606

Least Common Multiple (LCM) of 1402 and 1406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1402 and 1406. First we will calculate the prime factors of 1402 and 1406.

Prime Factorization of 1402

Prime factors of 1402 are 2, 701. Prime factorization of 1402 in exponential form is:

1402 = 21 × 7011

Prime Factorization of 1406

Prime factors of 1406 are 2, 19, 37. Prime factorization of 1406 in exponential form is:

1406 = 21 × 191 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 1402 and 1406.

LCM(1402,1406) = 21 × 7011 × 191 × 371
LCM(1402,1406) = 985606