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What is the Least Common Multiple of 1430 and 1443?

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 1430 and 1443 is 158730.

LCM(1430,1443) = 158730

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Least Common Multiple of 1430 and 1443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1430 and 1443, than apply into the LCM equation.

GCF(1430,1443) = 13
LCM(1430,1443) = ( 1430 × 1443) / 13
LCM(1430,1443) = 2063490 / 13
LCM(1430,1443) = 158730

Least Common Multiple (LCM) of 1430 and 1443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1430 and 1443. First we will calculate the prime factors of 1430 and 1443.

Prime Factorization of 1430

Prime factors of 1430 are 2, 5, 11, 13. Prime factorization of 1430 in exponential form is:

1430 = 21 × 51 × 111 × 131

Prime Factorization of 1443

Prime factors of 1443 are 3, 13, 37. Prime factorization of 1443 in exponential form is:

1443 = 31 × 131 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 1430 and 1443.

LCM(1430,1443) = 21 × 51 × 111 × 131 × 31 × 371
LCM(1430,1443) = 158730