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What is the Least Common Multiple of 28652 and 28658?

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 28652 and 28658 is 410554508.

LCM(28652,28658) = 410554508

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Least Common Multiple of 28652 and 28658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28652 and 28658, than apply into the LCM equation.

GCF(28652,28658) = 2
LCM(28652,28658) = ( 28652 × 28658) / 2
LCM(28652,28658) = 821109016 / 2
LCM(28652,28658) = 410554508

Least Common Multiple (LCM) of 28652 and 28658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28652 and 28658. First we will calculate the prime factors of 28652 and 28658.

Prime Factorization of 28652

Prime factors of 28652 are 2, 13, 19, 29. Prime factorization of 28652 in exponential form is:

28652 = 22 × 131 × 191 × 291

Prime Factorization of 28658

Prime factors of 28658 are 2, 7, 23, 89. Prime factorization of 28658 in exponential form is:

28658 = 21 × 71 × 231 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 28652 and 28658.

LCM(28652,28658) = 22 × 131 × 191 × 291 × 71 × 231 × 891
LCM(28652,28658) = 410554508