What is the Least Common Multiple of 29146 and 29150?
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 29146 and 29150 is 424802950.
LCM(29146,29150) = 424802950
Least Common Multiple of 29146 and 29150 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29146 and 29150, than apply into the LCM equation.
GCF(29146,29150) = 2
LCM(29146,29150) = ( 29146 × 29150) / 2
LCM(29146,29150) = 849605900 / 2
LCM(29146,29150) = 424802950
Least Common Multiple (LCM) of 29146 and 29150 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29146 and 29150. First we will calculate the prime factors of 29146 and 29150.
Prime Factorization of 29146
Prime factors of 29146 are 2, 13, 19, 59. Prime factorization of 29146 in exponential form is:
29146 = 21 × 131 × 191 × 591
Prime Factorization of 29150
Prime factors of 29150 are 2, 5, 11, 53. Prime factorization of 29150 in exponential form is:
29150 = 21 × 52 × 111 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 29146 and 29150.
LCM(29146,29150) = 21 × 131 × 191 × 591 × 52 × 111 × 531
LCM(29146,29150) = 424802950
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