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What is the Least Common Multiple of 28412 and 28429?

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 28412 and 28429 is 807724748.

LCM(28412,28429) = 807724748

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Least Common Multiple of 28412 and 28429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28412 and 28429, than apply into the LCM equation.

GCF(28412,28429) = 1
LCM(28412,28429) = ( 28412 × 28429) / 1
LCM(28412,28429) = 807724748 / 1
LCM(28412,28429) = 807724748

Least Common Multiple (LCM) of 28412 and 28429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28412 and 28429. First we will calculate the prime factors of 28412 and 28429.

Prime Factorization of 28412

Prime factors of 28412 are 2, 7103. Prime factorization of 28412 in exponential form is:

28412 = 22 × 71031

Prime Factorization of 28429

Prime factors of 28429 are 28429. Prime factorization of 28429 in exponential form is:

28429 = 284291

Now multiplying the highest exponent prime factors to calculate the LCM of 28412 and 28429.

LCM(28412,28429) = 22 × 71031 × 284291
LCM(28412,28429) = 807724748