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What is the Least Common Multiple of 28877 and 28890?

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 28877 and 28890 is 834256530.

LCM(28877,28890) = 834256530

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Least Common Multiple of 28877 and 28890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28877 and 28890, than apply into the LCM equation.

GCF(28877,28890) = 1
LCM(28877,28890) = ( 28877 × 28890) / 1
LCM(28877,28890) = 834256530 / 1
LCM(28877,28890) = 834256530

Least Common Multiple (LCM) of 28877 and 28890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28877 and 28890. First we will calculate the prime factors of 28877 and 28890.

Prime Factorization of 28877

Prime factors of 28877 are 67, 431. Prime factorization of 28877 in exponential form is:

28877 = 671 × 4311

Prime Factorization of 28890

Prime factors of 28890 are 2, 3, 5, 107. Prime factorization of 28890 in exponential form is:

28890 = 21 × 33 × 51 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 28877 and 28890.

LCM(28877,28890) = 671 × 4311 × 21 × 33 × 51 × 1071
LCM(28877,28890) = 834256530