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What is the Least Common Multiple of 28701 and 28710?

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 28701 and 28710 is 91556190.

LCM(28701,28710) = 91556190

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Least Common Multiple of 28701 and 28710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28701 and 28710, than apply into the LCM equation.

GCF(28701,28710) = 9
LCM(28701,28710) = ( 28701 × 28710) / 9
LCM(28701,28710) = 824005710 / 9
LCM(28701,28710) = 91556190

Least Common Multiple (LCM) of 28701 and 28710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28701 and 28710. First we will calculate the prime factors of 28701 and 28710.

Prime Factorization of 28701

Prime factors of 28701 are 3, 1063. Prime factorization of 28701 in exponential form is:

28701 = 33 × 10631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 28701 and 28710.

LCM(28701,28710) = 33 × 10631 × 21 × 51 × 111 × 291
LCM(28701,28710) = 91556190