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What is the Least Common Multiple of 28692 and 28705?

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 28692 and 28705 is 823603860.

LCM(28692,28705) = 823603860

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Least Common Multiple of 28692 and 28705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28692 and 28705, than apply into the LCM equation.

GCF(28692,28705) = 1
LCM(28692,28705) = ( 28692 × 28705) / 1
LCM(28692,28705) = 823603860 / 1
LCM(28692,28705) = 823603860

Least Common Multiple (LCM) of 28692 and 28705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28692 and 28705. First we will calculate the prime factors of 28692 and 28705.

Prime Factorization of 28692

Prime factors of 28692 are 2, 3, 797. Prime factorization of 28692 in exponential form is:

28692 = 22 × 32 × 7971

Prime Factorization of 28705

Prime factors of 28705 are 5, 5741. Prime factorization of 28705 in exponential form is:

28705 = 51 × 57411

Now multiplying the highest exponent prime factors to calculate the LCM of 28692 and 28705.

LCM(28692,28705) = 22 × 32 × 7971 × 51 × 57411
LCM(28692,28705) = 823603860