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What is the Least Common Multiple of 28778 and 28794?

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 28778 and 28794 is 414316866.

LCM(28778,28794) = 414316866

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Least Common Multiple of 28778 and 28794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28778 and 28794, than apply into the LCM equation.

GCF(28778,28794) = 2
LCM(28778,28794) = ( 28778 × 28794) / 2
LCM(28778,28794) = 828633732 / 2
LCM(28778,28794) = 414316866

Least Common Multiple (LCM) of 28778 and 28794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28778 and 28794. First we will calculate the prime factors of 28778 and 28794.

Prime Factorization of 28778

Prime factors of 28778 are 2, 14389. Prime factorization of 28778 in exponential form is:

28778 = 21 × 143891

Prime Factorization of 28794

Prime factors of 28794 are 2, 3, 4799. Prime factorization of 28794 in exponential form is:

28794 = 21 × 31 × 47991

Now multiplying the highest exponent prime factors to calculate the LCM of 28778 and 28794.

LCM(28778,28794) = 21 × 143891 × 31 × 47991
LCM(28778,28794) = 414316866