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What is the Least Common Multiple of 28894 and 28901?

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 28894 and 28901 is 835065494.

LCM(28894,28901) = 835065494

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Least Common Multiple of 28894 and 28901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28894 and 28901, than apply into the LCM equation.

GCF(28894,28901) = 1
LCM(28894,28901) = ( 28894 × 28901) / 1
LCM(28894,28901) = 835065494 / 1
LCM(28894,28901) = 835065494

Least Common Multiple (LCM) of 28894 and 28901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28894 and 28901. First we will calculate the prime factors of 28894 and 28901.

Prime Factorization of 28894

Prime factors of 28894 are 2, 14447. Prime factorization of 28894 in exponential form is:

28894 = 21 × 144471

Prime Factorization of 28901

Prime factors of 28901 are 28901. Prime factorization of 28901 in exponential form is:

28901 = 289011

Now multiplying the highest exponent prime factors to calculate the LCM of 28894 and 28901.

LCM(28894,28901) = 21 × 144471 × 289011
LCM(28894,28901) = 835065494