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What is the Least Common Multiple of 28498 and 28515?

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 28498 and 28515 is 812620470.

LCM(28498,28515) = 812620470

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Least Common Multiple of 28498 and 28515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28498 and 28515, than apply into the LCM equation.

GCF(28498,28515) = 1
LCM(28498,28515) = ( 28498 × 28515) / 1
LCM(28498,28515) = 812620470 / 1
LCM(28498,28515) = 812620470

Least Common Multiple (LCM) of 28498 and 28515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28498 and 28515. First we will calculate the prime factors of 28498 and 28515.

Prime Factorization of 28498

Prime factors of 28498 are 2, 14249. Prime factorization of 28498 in exponential form is:

28498 = 21 × 142491

Prime Factorization of 28515

Prime factors of 28515 are 3, 5, 1901. Prime factorization of 28515 in exponential form is:

28515 = 31 × 51 × 19011

Now multiplying the highest exponent prime factors to calculate the LCM of 28498 and 28515.

LCM(28498,28515) = 21 × 142491 × 31 × 51 × 19011
LCM(28498,28515) = 812620470