What is the Least Common Multiple of 29366 and 29377?
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 29366 and 29377 is 862684982.
LCM(29366,29377) = 862684982
Least Common Multiple of 29366 and 29377 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29366 and 29377, than apply into the LCM equation.
GCF(29366,29377) = 1
LCM(29366,29377) = ( 29366 × 29377) / 1
LCM(29366,29377) = 862684982 / 1
LCM(29366,29377) = 862684982
Least Common Multiple (LCM) of 29366 and 29377 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29366 and 29377. First we will calculate the prime factors of 29366 and 29377.
Prime Factorization of 29366
Prime factors of 29366 are 2, 14683. Prime factorization of 29366 in exponential form is:
29366 = 21 × 146831
Prime Factorization of 29377
Prime factors of 29377 are 29, 1013. Prime factorization of 29377 in exponential form is:
29377 = 291 × 10131
Now multiplying the highest exponent prime factors to calculate the LCM of 29366 and 29377.
LCM(29366,29377) = 21 × 146831 × 291 × 10131
LCM(29366,29377) = 862684982
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