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What is the Least Common Multiple of 1416 and 1431?

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 1416 and 1431 is 675432.

LCM(1416,1431) = 675432

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Least Common Multiple of 1416 and 1431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1416 and 1431, than apply into the LCM equation.

GCF(1416,1431) = 3
LCM(1416,1431) = ( 1416 × 1431) / 3
LCM(1416,1431) = 2026296 / 3
LCM(1416,1431) = 675432

Least Common Multiple (LCM) of 1416 and 1431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1416 and 1431. First we will calculate the prime factors of 1416 and 1431.

Prime Factorization of 1416

Prime factors of 1416 are 2, 3, 59. Prime factorization of 1416 in exponential form is:

1416 = 23 × 31 × 591

Prime Factorization of 1431

Prime factors of 1431 are 3, 53. Prime factorization of 1431 in exponential form is:

1431 = 33 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 1416 and 1431.

LCM(1416,1431) = 23 × 33 × 591 × 531
LCM(1416,1431) = 675432