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What is the Least Common Multiple of 28853 and 28861?

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 28853 and 28861 is 832726433.

LCM(28853,28861) = 832726433

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Least Common Multiple of 28853 and 28861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28853 and 28861, than apply into the LCM equation.

GCF(28853,28861) = 1
LCM(28853,28861) = ( 28853 × 28861) / 1
LCM(28853,28861) = 832726433 / 1
LCM(28853,28861) = 832726433

Least Common Multiple (LCM) of 28853 and 28861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28853 and 28861. First we will calculate the prime factors of 28853 and 28861.

Prime Factorization of 28853

Prime factors of 28853 are 11, 43, 61. Prime factorization of 28853 in exponential form is:

28853 = 111 × 431 × 611

Prime Factorization of 28861

Prime factors of 28861 are 7, 19, 31. Prime factorization of 28861 in exponential form is:

28861 = 72 × 191 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 28853 and 28861.

LCM(28853,28861) = 111 × 431 × 611 × 72 × 191 × 311
LCM(28853,28861) = 832726433