What is the Least Common Multiple of 1406 and 1426?

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 1406 and 1426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1406 and 1426, than apply into the LCM equation.

GCF(1406,1426) = 2
LCM(1406,1426) = ( 1406 × 1426) / 2
LCM(1406,1426) = 2004956 / 2
LCM(1406,1426) = 1002478

Least Common Multiple (LCM) of 1406 and 1426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1406 and 1426. First we will calculate the prime factors of 1406 and 1426.

Prime Factorization of 1406

Prime Factorization of 1426

Now multiplying the highest exponent prime factors to calculate the LCM of 1406 and 1426.

LCM(1406,1426) = 2¹ × 19¹ × 37¹ × 23¹ × 31¹
LCM(1406,1426) = 1002478