What is the Least Common Multiple of 29587 and 29601?
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 29587 and 29601 is 875804787.
LCM(29587,29601) = 875804787
Least Common Multiple of 29587 and 29601 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29587 and 29601, than apply into the LCM equation.
GCF(29587,29601) = 1
LCM(29587,29601) = ( 29587 × 29601) / 1
LCM(29587,29601) = 875804787 / 1
LCM(29587,29601) = 875804787
Least Common Multiple (LCM) of 29587 and 29601 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29587 and 29601. First we will calculate the prime factors of 29587 and 29601.
Prime Factorization of 29587
Prime factors of 29587 are 29587. Prime factorization of 29587 in exponential form is:
29587 = 295871
Prime Factorization of 29601
Prime factors of 29601 are 3, 11, 13, 23. Prime factorization of 29601 in exponential form is:
29601 = 32 × 111 × 131 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 29587 and 29601.
LCM(29587,29601) = 295871 × 32 × 111 × 131 × 231
LCM(29587,29601) = 875804787
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