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What is the Least Common Multiple of 1477 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 (LCM) of 1477 and 1482 is 2188914.

LCM(1477,1482) = 2188914

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Least Common Multiple of 1477 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 1477 and 1482, than apply into the LCM equation.

GCF(1477,1482) = 1
LCM(1477,1482) = ( 1477 × 1482) / 1
LCM(1477,1482) = 2188914 / 1
LCM(1477,1482) = 2188914

Least Common Multiple (LCM) of 1477 and 1482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1477 and 1482. First we will calculate the prime factors of 1477 and 1482.

Prime Factorization of 1477

Prime factors of 1477 are 7, 211. Prime factorization of 1477 in exponential form is:

1477 = 71 × 2111

Prime Factorization of 1482

Prime factors of 1482 are 2, 3, 13, 19. Prime factorization of 1482 in exponential form is:

1482 = 21 × 31 × 131 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 1477 and 1482.

LCM(1477,1482) = 71 × 2111 × 21 × 31 × 131 × 191
LCM(1477,1482) = 2188914