What is the Least Common Multiple of 54763 and 54773?
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 54763 and 54773 is 2999533799.
LCM(54763,54773) = 2999533799
Least Common Multiple of 54763 and 54773 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54763 and 54773, than apply into the LCM equation.
GCF(54763,54773) = 1
LCM(54763,54773) = ( 54763 × 54773) / 1
LCM(54763,54773) = 2999533799 / 1
LCM(54763,54773) = 2999533799
Least Common Multiple (LCM) of 54763 and 54773 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54763 and 54773. First we will calculate the prime factors of 54763 and 54773.
Prime Factorization of 54763
Prime factors of 54763 are 23, 2381. Prime factorization of 54763 in exponential form is:
54763 = 231 × 23811
Prime Factorization of 54773
Prime factors of 54773 are 54773. Prime factorization of 54773 in exponential form is:
54773 = 547731
Now multiplying the highest exponent prime factors to calculate the LCM of 54763 and 54773.
LCM(54763,54773) = 231 × 23811 × 547731
LCM(54763,54773) = 2999533799
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