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What is the Least Common Multiple of 1463 and 1479?

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 1463 and 1479 is 2163777.

LCM(1463,1479) = 2163777

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Least Common Multiple of 1463 and 1479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1463 and 1479, than apply into the LCM equation.

GCF(1463,1479) = 1
LCM(1463,1479) = ( 1463 × 1479) / 1
LCM(1463,1479) = 2163777 / 1
LCM(1463,1479) = 2163777

Least Common Multiple (LCM) of 1463 and 1479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1463 and 1479. First we will calculate the prime factors of 1463 and 1479.

Prime Factorization of 1463

Prime factors of 1463 are 7, 11, 19. Prime factorization of 1463 in exponential form is:

1463 = 71 × 111 × 191

Prime Factorization of 1479

Prime factors of 1479 are 3, 17, 29. Prime factorization of 1479 in exponential form is:

1479 = 31 × 171 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 1463 and 1479.

LCM(1463,1479) = 71 × 111 × 191 × 31 × 171 × 291
LCM(1463,1479) = 2163777