What is the Least Common Multiple of 54803 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 54803 and 54821 is 3004355263.
LCM(54803,54821) = 3004355263
Least Common Multiple of 54803 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 54803 and 54821, than apply into the LCM equation.
GCF(54803,54821) = 1
LCM(54803,54821) = ( 54803 × 54821) / 1
LCM(54803,54821) = 3004355263 / 1
LCM(54803,54821) = 3004355263
Least Common Multiple (LCM) of 54803 and 54821 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54803 and 54821. First we will calculate the prime factors of 54803 and 54821.
Prime Factorization of 54803
Prime factors of 54803 are 7, 7829. Prime factorization of 54803 in exponential form is:
54803 = 71 × 78291
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 54803 and 54821.
LCM(54803,54821) = 71 × 78291 × 131 × 42171
LCM(54803,54821) = 3004355263
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