What is the Least Common Multiple of 43777 and 43793?
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 43777 and 43793 is 1917126161.
LCM(43777,43793) = 1917126161
Least Common Multiple of 43777 and 43793 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43777 and 43793, than apply into the LCM equation.
GCF(43777,43793) = 1
LCM(43777,43793) = ( 43777 × 43793) / 1
LCM(43777,43793) = 1917126161 / 1
LCM(43777,43793) = 1917126161
Least Common Multiple (LCM) of 43777 and 43793 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43777 and 43793. First we will calculate the prime factors of 43777 and 43793.
Prime Factorization of 43777
Prime factors of 43777 are 43777. Prime factorization of 43777 in exponential form is:
43777 = 437771
Prime Factorization of 43793
Prime factors of 43793 are 43793. Prime factorization of 43793 in exponential form is:
43793 = 437931
Now multiplying the highest exponent prime factors to calculate the LCM of 43777 and 43793.
LCM(43777,43793) = 437771 × 437931
LCM(43777,43793) = 1917126161
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