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What is the Least Common Multiple of 28107 and 28115?

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 28107 and 28115 is 790228305.

LCM(28107,28115) = 790228305

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Least Common Multiple of 28107 and 28115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28107 and 28115, than apply into the LCM equation.

GCF(28107,28115) = 1
LCM(28107,28115) = ( 28107 × 28115) / 1
LCM(28107,28115) = 790228305 / 1
LCM(28107,28115) = 790228305

Least Common Multiple (LCM) of 28107 and 28115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28107 and 28115. First we will calculate the prime factors of 28107 and 28115.

Prime Factorization of 28107

Prime factors of 28107 are 3, 347. Prime factorization of 28107 in exponential form is:

28107 = 34 × 3471

Prime Factorization of 28115

Prime factors of 28115 are 5, 5623. Prime factorization of 28115 in exponential form is:

28115 = 51 × 56231

Now multiplying the highest exponent prime factors to calculate the LCM of 28107 and 28115.

LCM(28107,28115) = 34 × 3471 × 51 × 56231
LCM(28107,28115) = 790228305