What is the Least Common Multiple of 1449 and 1461?

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 1449 and 1461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1449 and 1461, than apply into the LCM equation.

GCF(1449,1461) = 3
LCM(1449,1461) = ( 1449 × 1461) / 3
LCM(1449,1461) = 2116989 / 3
LCM(1449,1461) = 705663

Least Common Multiple (LCM) of 1449 and 1461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1449 and 1461. First we will calculate the prime factors of 1449 and 1461.

Prime Factorization of 1449

Prime Factorization of 1461

Now multiplying the highest exponent prime factors to calculate the LCM of 1449 and 1461.

LCM(1449,1461) = 3² × 7¹ × 23¹ × 487¹
LCM(1449,1461) = 705663