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What is the Least Common Multiple of 28837 and 28846?

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 28837 and 28846 is 831832102.

LCM(28837,28846) = 831832102

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Least Common Multiple of 28837 and 28846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28837 and 28846, than apply into the LCM equation.

GCF(28837,28846) = 1
LCM(28837,28846) = ( 28837 × 28846) / 1
LCM(28837,28846) = 831832102 / 1
LCM(28837,28846) = 831832102

Least Common Multiple (LCM) of 28837 and 28846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28837 and 28846. First we will calculate the prime factors of 28837 and 28846.

Prime Factorization of 28837

Prime factors of 28837 are 28837. Prime factorization of 28837 in exponential form is:

28837 = 288371

Prime Factorization of 28846

Prime factors of 28846 are 2, 14423. Prime factorization of 28846 in exponential form is:

28846 = 21 × 144231

Now multiplying the highest exponent prime factors to calculate the LCM of 28837 and 28846.

LCM(28837,28846) = 288371 × 21 × 144231
LCM(28837,28846) = 831832102