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What is the Least Common Multiple of 28778 and 28790?

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 28790 is 414259310.

LCM(28778,28790) = 414259310

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Least Common Multiple of 28778 and 28790 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 28790, than apply into the LCM equation.

GCF(28778,28790) = 2
LCM(28778,28790) = ( 28778 × 28790) / 2
LCM(28778,28790) = 828518620 / 2
LCM(28778,28790) = 414259310

Least Common Multiple (LCM) of 28778 and 28790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28778 and 28790. First we will calculate the prime factors of 28778 and 28790.

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 28790

Prime factors of 28790 are 2, 5, 2879. Prime factorization of 28790 in exponential form is:

28790 = 21 × 51 × 28791

Now multiplying the highest exponent prime factors to calculate the LCM of 28778 and 28790.

LCM(28778,28790) = 21 × 143891 × 51 × 28791
LCM(28778,28790) = 414259310