What is the Least Common Multiple of 29673 and 29687?
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 29673 and 29687 is 125843193.
LCM(29673,29687) = 125843193
Least Common Multiple of 29673 and 29687 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29673 and 29687, than apply into the LCM equation.
GCF(29673,29687) = 7
LCM(29673,29687) = ( 29673 × 29687) / 7
LCM(29673,29687) = 880902351 / 7
LCM(29673,29687) = 125843193
Least Common Multiple (LCM) of 29673 and 29687 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29673 and 29687. First we will calculate the prime factors of 29673 and 29687.
Prime Factorization of 29673
Prime factors of 29673 are 3, 7, 157. Prime factorization of 29673 in exponential form is:
29673 = 33 × 71 × 1571
Prime Factorization of 29687
Prime factors of 29687 are 7, 4241. Prime factorization of 29687 in exponential form is:
29687 = 71 × 42411
Now multiplying the highest exponent prime factors to calculate the LCM of 29673 and 29687.
LCM(29673,29687) = 33 × 71 × 1571 × 42411
LCM(29673,29687) = 125843193
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