What is the Least Common Multiple of 1478 and 1496?

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 1478 and 1496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1478 and 1496, than apply into the LCM equation.

GCF(1478,1496) = 2
LCM(1478,1496) = ( 1478 × 1496) / 2
LCM(1478,1496) = 2211088 / 2
LCM(1478,1496) = 1105544

Least Common Multiple (LCM) of 1478 and 1496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1478 and 1496. First we will calculate the prime factors of 1478 and 1496.

Prime Factorization of 1478

Prime Factorization of 1496

Now multiplying the highest exponent prime factors to calculate the LCM of 1478 and 1496.

LCM(1478,1496) = 2³ × 739¹ × 11¹ × 17¹
LCM(1478,1496) = 1105544