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What is the Least Common Multiple of 28634 and 28646?

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 28634 and 28646 is 410124782.

LCM(28634,28646) = 410124782

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Least Common Multiple of 28634 and 28646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28634 and 28646, than apply into the LCM equation.

GCF(28634,28646) = 2
LCM(28634,28646) = ( 28634 × 28646) / 2
LCM(28634,28646) = 820249564 / 2
LCM(28634,28646) = 410124782

Least Common Multiple (LCM) of 28634 and 28646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28634 and 28646. First we will calculate the prime factors of 28634 and 28646.

Prime Factorization of 28634

Prime factors of 28634 are 2, 103, 139. Prime factorization of 28634 in exponential form is:

28634 = 21 × 1031 × 1391

Prime Factorization of 28646

Prime factors of 28646 are 2, 14323. Prime factorization of 28646 in exponential form is:

28646 = 21 × 143231

Now multiplying the highest exponent prime factors to calculate the LCM of 28634 and 28646.

LCM(28634,28646) = 21 × 1031 × 1391 × 143231
LCM(28634,28646) = 410124782