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What is the Least Common Multiple of 28877 and 28897?

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 28897 is 834458669.

LCM(28877,28897) = 834458669

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Least Common Multiple of 28877 and 28897 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 28897, than apply into the LCM equation.

GCF(28877,28897) = 1
LCM(28877,28897) = ( 28877 × 28897) / 1
LCM(28877,28897) = 834458669 / 1
LCM(28877,28897) = 834458669

Least Common Multiple (LCM) of 28877 and 28897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28877 and 28897. First we will calculate the prime factors of 28877 and 28897.

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 28897

Prime factors of 28897 are 11, 37, 71. Prime factorization of 28897 in exponential form is:

28897 = 111 × 371 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 28877 and 28897.

LCM(28877,28897) = 671 × 4311 × 111 × 371 × 711
LCM(28877,28897) = 834458669