What is the Least Common Multiple of 29346 and 29365?
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 29346 and 29365 is 861745290.
LCM(29346,29365) = 861745290
Least Common Multiple of 29346 and 29365 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29346 and 29365, than apply into the LCM equation.
GCF(29346,29365) = 1
LCM(29346,29365) = ( 29346 × 29365) / 1
LCM(29346,29365) = 861745290 / 1
LCM(29346,29365) = 861745290
Least Common Multiple (LCM) of 29346 and 29365 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29346 and 29365. First we will calculate the prime factors of 29346 and 29365.
Prime Factorization of 29346
Prime factors of 29346 are 2, 3, 67, 73. Prime factorization of 29346 in exponential form is:
29346 = 21 × 31 × 671 × 731
Prime Factorization of 29365
Prime factors of 29365 are 5, 7, 839. Prime factorization of 29365 in exponential form is:
29365 = 51 × 71 × 8391
Now multiplying the highest exponent prime factors to calculate the LCM of 29346 and 29365.
LCM(29346,29365) = 21 × 31 × 671 × 731 × 51 × 71 × 8391
LCM(29346,29365) = 861745290
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