What is the Least Common Multiple of 28092 and 28110?
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 28110 is 131611020.
LCM(28092,28110) = 131611020
Least Common Multiple of 28092 and 28110 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 28110, than apply into the LCM equation.
GCF(28092,28110) = 6
LCM(28092,28110) = ( 28092 × 28110) / 6
LCM(28092,28110) = 789666120 / 6
LCM(28092,28110) = 131611020
Least Common Multiple (LCM) of 28092 and 28110 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28092 and 28110. First we will calculate the prime factors of 28092 and 28110.
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 28110
Prime factors of 28110 are 2, 3, 5, 937. Prime factorization of 28110 in exponential form is:
28110 = 21 × 31 × 51 × 9371
Now multiplying the highest exponent prime factors to calculate the LCM of 28092 and 28110.
LCM(28092,28110) = 22 × 31 × 23411 × 51 × 9371
LCM(28092,28110) = 131611020
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