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What is the Least Common Multiple of 1473 and 1486?

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 1473 and 1486 is 2188878.

LCM(1473,1486) = 2188878

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Least Common Multiple of 1473 and 1486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1473 and 1486, than apply into the LCM equation.

GCF(1473,1486) = 1
LCM(1473,1486) = ( 1473 × 1486) / 1
LCM(1473,1486) = 2188878 / 1
LCM(1473,1486) = 2188878

Least Common Multiple (LCM) of 1473 and 1486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1473 and 1486. First we will calculate the prime factors of 1473 and 1486.

Prime Factorization of 1473

Prime factors of 1473 are 3, 491. Prime factorization of 1473 in exponential form is:

1473 = 31 × 4911

Prime Factorization of 1486

Prime factors of 1486 are 2, 743. Prime factorization of 1486 in exponential form is:

1486 = 21 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 1473 and 1486.

LCM(1473,1486) = 31 × 4911 × 21 × 7431
LCM(1473,1486) = 2188878