What is the Least Common Multiple of 29892 and 29898?
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 29892 and 29898 is 148951836.
LCM(29892,29898) = 148951836
Least Common Multiple of 29892 and 29898 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29892 and 29898, than apply into the LCM equation.
GCF(29892,29898) = 6
LCM(29892,29898) = ( 29892 × 29898) / 6
LCM(29892,29898) = 893711016 / 6
LCM(29892,29898) = 148951836
Least Common Multiple (LCM) of 29892 and 29898 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29892 and 29898. First we will calculate the prime factors of 29892 and 29898.
Prime Factorization of 29892
Prime factors of 29892 are 2, 3, 47, 53. Prime factorization of 29892 in exponential form is:
29892 = 22 × 31 × 471 × 531
Prime Factorization of 29898
Prime factors of 29898 are 2, 3, 11, 151. Prime factorization of 29898 in exponential form is:
29898 = 21 × 32 × 111 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 29892 and 29898.
LCM(29892,29898) = 22 × 32 × 471 × 531 × 111 × 1511
LCM(29892,29898) = 148951836
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