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What is the Least Common Multiple of 1429 and 1440?

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 1429 and 1440 is 2057760.

LCM(1429,1440) = 2057760

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Least Common Multiple of 1429 and 1440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1429 and 1440, than apply into the LCM equation.

GCF(1429,1440) = 1
LCM(1429,1440) = ( 1429 × 1440) / 1
LCM(1429,1440) = 2057760 / 1
LCM(1429,1440) = 2057760

Least Common Multiple (LCM) of 1429 and 1440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1429 and 1440. First we will calculate the prime factors of 1429 and 1440.

Prime Factorization of 1429

Prime factors of 1429 are 1429. Prime factorization of 1429 in exponential form is:

1429 = 14291

Prime Factorization of 1440

Prime factors of 1440 are 2, 3, 5. Prime factorization of 1440 in exponential form is:

1440 = 25 × 32 × 51

Now multiplying the highest exponent prime factors to calculate the LCM of 1429 and 1440.

LCM(1429,1440) = 14291 × 25 × 32 × 51
LCM(1429,1440) = 2057760