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What is the Least Common Multiple of 1428 and 1432?

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 1428 and 1432 is 511224.

LCM(1428,1432) = 511224

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Least Common Multiple of 1428 and 1432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1428 and 1432, than apply into the LCM equation.

GCF(1428,1432) = 4
LCM(1428,1432) = ( 1428 × 1432) / 4
LCM(1428,1432) = 2044896 / 4
LCM(1428,1432) = 511224

Least Common Multiple (LCM) of 1428 and 1432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1428 and 1432. First we will calculate the prime factors of 1428 and 1432.

Prime Factorization of 1428

Prime factors of 1428 are 2, 3, 7, 17. Prime factorization of 1428 in exponential form is:

1428 = 22 × 31 × 71 × 171

Prime Factorization of 1432

Prime factors of 1432 are 2, 179. Prime factorization of 1432 in exponential form is:

1432 = 23 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 1428 and 1432.

LCM(1428,1432) = 23 × 31 × 71 × 171 × 1791
LCM(1428,1432) = 511224