What is the Least Common Multiple of 54821 and 54832?
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 54821 and 54832 is 3005945072.
LCM(54821,54832) = 3005945072
Least Common Multiple of 54821 and 54832 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54821 and 54832, than apply into the LCM equation.
GCF(54821,54832) = 1
LCM(54821,54832) = ( 54821 × 54832) / 1
LCM(54821,54832) = 3005945072 / 1
LCM(54821,54832) = 3005945072
Least Common Multiple (LCM) of 54821 and 54832 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54821 and 54832. First we will calculate the prime factors of 54821 and 54832.
Prime Factorization of 54821
Prime factors of 54821 are 13, 4217. Prime factorization of 54821 in exponential form is:
54821 = 131 × 42171
Prime Factorization of 54832
Prime factors of 54832 are 2, 23, 149. Prime factorization of 54832 in exponential form is:
54832 = 24 × 231 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 54821 and 54832.
LCM(54821,54832) = 131 × 42171 × 24 × 231 × 1491
LCM(54821,54832) = 3005945072
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