What is the Least Common Multiple of 59434 and 59443?
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 59434 and 59443 is 3532935262.
LCM(59434,59443) = 3532935262
Least Common Multiple of 59434 and 59443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59434 and 59443, than apply into the LCM equation.
GCF(59434,59443) = 1
LCM(59434,59443) = ( 59434 × 59443) / 1
LCM(59434,59443) = 3532935262 / 1
LCM(59434,59443) = 3532935262
Least Common Multiple (LCM) of 59434 and 59443 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59434 and 59443. First we will calculate the prime factors of 59434 and 59443.
Prime Factorization of 59434
Prime factors of 59434 are 2, 29717. Prime factorization of 59434 in exponential form is:
59434 = 21 × 297171
Prime Factorization of 59443
Prime factors of 59443 are 59443. Prime factorization of 59443 in exponential form is:
59443 = 594431
Now multiplying the highest exponent prime factors to calculate the LCM of 59434 and 59443.
LCM(59434,59443) = 21 × 297171 × 594431
LCM(59434,59443) = 3532935262
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