What is the Least Common Multiple of 26142 and 26149?
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 26142 and 26149 is 683587158.
LCM(26142,26149) = 683587158
Least Common Multiple of 26142 and 26149 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26142 and 26149, than apply into the LCM equation.
GCF(26142,26149) = 1
LCM(26142,26149) = ( 26142 × 26149) / 1
LCM(26142,26149) = 683587158 / 1
LCM(26142,26149) = 683587158
Least Common Multiple (LCM) of 26142 and 26149 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26142 and 26149. First we will calculate the prime factors of 26142 and 26149.
Prime Factorization of 26142
Prime factors of 26142 are 2, 3, 4357. Prime factorization of 26142 in exponential form is:
26142 = 21 × 31 × 43571
Prime Factorization of 26149
Prime factors of 26149 are 79, 331. Prime factorization of 26149 in exponential form is:
26149 = 791 × 3311
Now multiplying the highest exponent prime factors to calculate the LCM of 26142 and 26149.
LCM(26142,26149) = 21 × 31 × 43571 × 791 × 3311
LCM(26142,26149) = 683587158
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