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What is the Least Common Multiple of 28710 and 28717?

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 28710 and 28717 is 824465070.

LCM(28710,28717) = 824465070

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Least Common Multiple of 28710 and 28717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28710 and 28717, than apply into the LCM equation.

GCF(28710,28717) = 1
LCM(28710,28717) = ( 28710 × 28717) / 1
LCM(28710,28717) = 824465070 / 1
LCM(28710,28717) = 824465070

Least Common Multiple (LCM) of 28710 and 28717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28710 and 28717. First we will calculate the prime factors of 28710 and 28717.

Prime Factorization of 28710

Prime factors of 28710 are 2, 3, 5, 11, 29. Prime factorization of 28710 in exponential form is:

28710 = 21 × 32 × 51 × 111 × 291

Prime Factorization of 28717

Prime factors of 28717 are 13, 47. Prime factorization of 28717 in exponential form is:

28717 = 131 × 472

Now multiplying the highest exponent prime factors to calculate the LCM of 28710 and 28717.

LCM(28710,28717) = 21 × 32 × 51 × 111 × 291 × 131 × 472
LCM(28710,28717) = 824465070