What is the Least Common Multiple of 54051 and 54060?
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 54051 and 54060 is 973999020.
LCM(54051,54060) = 973999020
Least Common Multiple of 54051 and 54060 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54051 and 54060, than apply into the LCM equation.
GCF(54051,54060) = 3
LCM(54051,54060) = ( 54051 × 54060) / 3
LCM(54051,54060) = 2921997060 / 3
LCM(54051,54060) = 973999020
Least Common Multiple (LCM) of 54051 and 54060 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54051 and 54060. First we will calculate the prime factors of 54051 and 54060.
Prime Factorization of 54051
Prime factors of 54051 are 3, 43, 419. Prime factorization of 54051 in exponential form is:
54051 = 31 × 431 × 4191
Prime Factorization of 54060
Prime factors of 54060 are 2, 3, 5, 17, 53. Prime factorization of 54060 in exponential form is:
54060 = 22 × 31 × 51 × 171 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 54051 and 54060.
LCM(54051,54060) = 31 × 431 × 4191 × 22 × 51 × 171 × 531
LCM(54051,54060) = 973999020
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