What is the Least Common Multiple of 1413 and 1431?

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 1413 and 1431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1413 and 1431, than apply into the LCM equation.

GCF(1413,1431) = 9
LCM(1413,1431) = ( 1413 × 1431) / 9
LCM(1413,1431) = 2022003 / 9
LCM(1413,1431) = 224667

Least Common Multiple (LCM) of 1413 and 1431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1413 and 1431. First we will calculate the prime factors of 1413 and 1431.

Prime Factorization of 1413

Prime Factorization of 1431

Now multiplying the highest exponent prime factors to calculate the LCM of 1413 and 1431.

LCM(1413,1431) = 3³ × 157¹ × 53¹
LCM(1413,1431) = 224667