What is the Least Common Multiple of 29548 and 29566?
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 29548 and 29566 is 436808084.
LCM(29548,29566) = 436808084
Least Common Multiple of 29548 and 29566 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29548 and 29566, than apply into the LCM equation.
GCF(29548,29566) = 2
LCM(29548,29566) = ( 29548 × 29566) / 2
LCM(29548,29566) = 873616168 / 2
LCM(29548,29566) = 436808084
Least Common Multiple (LCM) of 29548 and 29566 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29548 and 29566. First we will calculate the prime factors of 29548 and 29566.
Prime Factorization of 29548
Prime factors of 29548 are 2, 83, 89. Prime factorization of 29548 in exponential form is:
29548 = 22 × 831 × 891
Prime Factorization of 29566
Prime factors of 29566 are 2, 14783. Prime factorization of 29566 in exponential form is:
29566 = 21 × 147831
Now multiplying the highest exponent prime factors to calculate the LCM of 29548 and 29566.
LCM(29548,29566) = 22 × 831 × 891 × 147831
LCM(29548,29566) = 436808084
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