What is the Least Common Multiple of 43781 and 43786?
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 43781 and 43786 is 1916994866.
LCM(43781,43786) = 1916994866
Least Common Multiple of 43781 and 43786 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43781 and 43786, than apply into the LCM equation.
GCF(43781,43786) = 1
LCM(43781,43786) = ( 43781 × 43786) / 1
LCM(43781,43786) = 1916994866 / 1
LCM(43781,43786) = 1916994866
Least Common Multiple (LCM) of 43781 and 43786 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43781 and 43786. First we will calculate the prime factors of 43781 and 43786.
Prime Factorization of 43781
Prime factors of 43781 are 43781. Prime factorization of 43781 in exponential form is:
43781 = 437811
Prime Factorization of 43786
Prime factors of 43786 are 2, 21893. Prime factorization of 43786 in exponential form is:
43786 = 21 × 218931
Now multiplying the highest exponent prime factors to calculate the LCM of 43781 and 43786.
LCM(43781,43786) = 437811 × 21 × 218931
LCM(43781,43786) = 1916994866
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