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What is the Least Common Multiple of 28774 and 28785?

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 28774 and 28785 is 828259590.

LCM(28774,28785) = 828259590

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Least Common Multiple of 28774 and 28785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28774 and 28785, than apply into the LCM equation.

GCF(28774,28785) = 1
LCM(28774,28785) = ( 28774 × 28785) / 1
LCM(28774,28785) = 828259590 / 1
LCM(28774,28785) = 828259590

Least Common Multiple (LCM) of 28774 and 28785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28774 and 28785. First we will calculate the prime factors of 28774 and 28785.

Prime Factorization of 28774

Prime factors of 28774 are 2, 14387. Prime factorization of 28774 in exponential form is:

28774 = 21 × 143871

Prime Factorization of 28785

Prime factors of 28785 are 3, 5, 19, 101. Prime factorization of 28785 in exponential form is:

28785 = 31 × 51 × 191 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 28774 and 28785.

LCM(28774,28785) = 21 × 143871 × 31 × 51 × 191 × 1011
LCM(28774,28785) = 828259590