What is the Least Common Multiple of 55081 and 55089?
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 55081 and 55089 is 3034357209.
LCM(55081,55089) = 3034357209
Least Common Multiple of 55081 and 55089 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55081 and 55089, than apply into the LCM equation.
GCF(55081,55089) = 1
LCM(55081,55089) = ( 55081 × 55089) / 1
LCM(55081,55089) = 3034357209 / 1
LCM(55081,55089) = 3034357209
Least Common Multiple (LCM) of 55081 and 55089 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55081 and 55089. First we will calculate the prime factors of 55081 and 55089.
Prime Factorization of 55081
Prime factors of 55081 are 13, 19, 223. Prime factorization of 55081 in exponential form is:
55081 = 131 × 191 × 2231
Prime Factorization of 55089
Prime factors of 55089 are 3, 6121. Prime factorization of 55089 in exponential form is:
55089 = 32 × 61211
Now multiplying the highest exponent prime factors to calculate the LCM of 55081 and 55089.
LCM(55081,55089) = 131 × 191 × 2231 × 32 × 61211
LCM(55081,55089) = 3034357209
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