What is the Least Common Multiple of 1476 and 1482?

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 1476 and 1482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1476 and 1482, than apply into the LCM equation.

GCF(1476,1482) = 6
LCM(1476,1482) = ( 1476 × 1482) / 6
LCM(1476,1482) = 2187432 / 6
LCM(1476,1482) = 364572

Least Common Multiple (LCM) of 1476 and 1482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1476 and 1482. First we will calculate the prime factors of 1476 and 1482.

Prime Factorization of 1476

Prime Factorization of 1482

Now multiplying the highest exponent prime factors to calculate the LCM of 1476 and 1482.

LCM(1476,1482) = 2² × 3² × 41¹ × 13¹ × 19¹
LCM(1476,1482) = 364572