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What is the Least Common Multiple of 28092 and 28104?

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 28104 is 65791464.

LCM(28092,28104) = 65791464

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Least Common Multiple of 28092 and 28104 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 28104, than apply into the LCM equation.

GCF(28092,28104) = 12
LCM(28092,28104) = ( 28092 × 28104) / 12
LCM(28092,28104) = 789497568 / 12
LCM(28092,28104) = 65791464

Least Common Multiple (LCM) of 28092 and 28104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28092 and 28104. First we will calculate the prime factors of 28092 and 28104.

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 28104

Prime factors of 28104 are 2, 3, 1171. Prime factorization of 28104 in exponential form is:

28104 = 23 × 31 × 11711

Now multiplying the highest exponent prime factors to calculate the LCM of 28092 and 28104.

LCM(28092,28104) = 23 × 31 × 23411 × 11711
LCM(28092,28104) = 65791464