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What is the Least Common Multiple of 28092 and 28107?

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 28092 and 28107 is 263193948.

LCM(28092,28107) = 263193948

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Least Common Multiple of 28092 and 28107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28092 and 28107, than apply into the LCM equation.

GCF(28092,28107) = 3
LCM(28092,28107) = ( 28092 × 28107) / 3
LCM(28092,28107) = 789581844 / 3
LCM(28092,28107) = 263193948

Least Common Multiple (LCM) of 28092 and 28107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28092 and 28107. First we will calculate the prime factors of 28092 and 28107.

Prime Factorization of 28092

Prime factors of 28092 are 2, 3, 2341. Prime factorization of 28092 in exponential form is:

28092 = 22 × 31 × 23411

Prime Factorization of 28107

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

28107 = 34 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 28092 and 28107.

LCM(28092,28107) = 22 × 34 × 23411 × 3471
LCM(28092,28107) = 263193948