What is the Least Common Multiple of 1434 and 1443?

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 1434 and 1443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1434 and 1443, than apply into the LCM equation.

GCF(1434,1443) = 3
LCM(1434,1443) = ( 1434 × 1443) / 3
LCM(1434,1443) = 2069262 / 3
LCM(1434,1443) = 689754

Least Common Multiple (LCM) of 1434 and 1443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1434 and 1443. First we will calculate the prime factors of 1434 and 1443.

Prime Factorization of 1434

Prime Factorization of 1443

Now multiplying the highest exponent prime factors to calculate the LCM of 1434 and 1443.

LCM(1434,1443) = 2¹ × 3¹ × 239¹ × 13¹ × 37¹
LCM(1434,1443) = 689754