What is the Least Common Multiple of 54816 and 54821?
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 54816 and 54821 is 3005067936.
LCM(54816,54821) = 3005067936
Least Common Multiple of 54816 and 54821 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54816 and 54821, than apply into the LCM equation.
GCF(54816,54821) = 1
LCM(54816,54821) = ( 54816 × 54821) / 1
LCM(54816,54821) = 3005067936 / 1
LCM(54816,54821) = 3005067936
Least Common Multiple (LCM) of 54816 and 54821 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54816 and 54821. First we will calculate the prime factors of 54816 and 54821.
Prime Factorization of 54816
Prime factors of 54816 are 2, 3, 571. Prime factorization of 54816 in exponential form is:
54816 = 25 × 31 × 5711
Prime Factorization of 54821
Prime factors of 54821 are 13, 4217. Prime factorization of 54821 in exponential form is:
54821 = 131 × 42171
Now multiplying the highest exponent prime factors to calculate the LCM of 54816 and 54821.
LCM(54816,54821) = 25 × 31 × 5711 × 131 × 42171
LCM(54816,54821) = 3005067936
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Related Least Common Multiples of 54821
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