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What is the Least Common Multiple of 28710 and 28714?

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 28714 is 412189470.

LCM(28710,28714) = 412189470

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Least Common Multiple of 28710 and 28714 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 28714, than apply into the LCM equation.

GCF(28710,28714) = 2
LCM(28710,28714) = ( 28710 × 28714) / 2
LCM(28710,28714) = 824378940 / 2
LCM(28710,28714) = 412189470

Least Common Multiple (LCM) of 28710 and 28714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28710 and 28714. First we will calculate the prime factors of 28710 and 28714.

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 28714

Prime factors of 28714 are 2, 7, 293. Prime factorization of 28714 in exponential form is:

28714 = 21 × 72 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 28710 and 28714.

LCM(28710,28714) = 21 × 32 × 51 × 111 × 291 × 72 × 2931
LCM(28710,28714) = 412189470