What is the Least Common Multiple of 54801 and 54814?
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 54801 and 54814 is 3003862014.
LCM(54801,54814) = 3003862014
Least Common Multiple of 54801 and 54814 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54801 and 54814, than apply into the LCM equation.
GCF(54801,54814) = 1
LCM(54801,54814) = ( 54801 × 54814) / 1
LCM(54801,54814) = 3003862014 / 1
LCM(54801,54814) = 3003862014
Least Common Multiple (LCM) of 54801 and 54814 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54801 and 54814. First we will calculate the prime factors of 54801 and 54814.
Prime Factorization of 54801
Prime factors of 54801 are 3, 6089. Prime factorization of 54801 in exponential form is:
54801 = 32 × 60891
Prime Factorization of 54814
Prime factors of 54814 are 2, 27407. Prime factorization of 54814 in exponential form is:
54814 = 21 × 274071
Now multiplying the highest exponent prime factors to calculate the LCM of 54801 and 54814.
LCM(54801,54814) = 32 × 60891 × 21 × 274071
LCM(54801,54814) = 3003862014
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