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What is the Least Common Multiple of 28778 and 28787?

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 28787 is 828432286.

LCM(28778,28787) = 828432286

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Least Common Multiple of 28778 and 28787 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 28787, than apply into the LCM equation.

GCF(28778,28787) = 1
LCM(28778,28787) = ( 28778 × 28787) / 1
LCM(28778,28787) = 828432286 / 1
LCM(28778,28787) = 828432286

Least Common Multiple (LCM) of 28778 and 28787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28778 and 28787. First we will calculate the prime factors of 28778 and 28787.

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 28787

Prime factors of 28787 are 11, 2617. Prime factorization of 28787 in exponential form is:

28787 = 111 × 26171

Now multiplying the highest exponent prime factors to calculate the LCM of 28778 and 28787.

LCM(28778,28787) = 21 × 143891 × 111 × 26171
LCM(28778,28787) = 828432286