What is the Least Common Multiple of 27092 and 27099?
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 27092 and 27099 is 734166108.
LCM(27092,27099) = 734166108
Least Common Multiple of 27092 and 27099 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27092 and 27099, than apply into the LCM equation.
GCF(27092,27099) = 1
LCM(27092,27099) = ( 27092 × 27099) / 1
LCM(27092,27099) = 734166108 / 1
LCM(27092,27099) = 734166108
Least Common Multiple (LCM) of 27092 and 27099 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27092 and 27099. First we will calculate the prime factors of 27092 and 27099.
Prime Factorization of 27092
Prime factors of 27092 are 2, 13, 521. Prime factorization of 27092 in exponential form is:
27092 = 22 × 131 × 5211
Prime Factorization of 27099
Prime factors of 27099 are 3, 3011. Prime factorization of 27099 in exponential form is:
27099 = 32 × 30111
Now multiplying the highest exponent prime factors to calculate the LCM of 27092 and 27099.
LCM(27092,27099) = 22 × 131 × 5211 × 32 × 30111
LCM(27092,27099) = 734166108
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