What is the Least Common Multiple of 26136 and 26146?
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 26136 and 26146 is 341675928.
LCM(26136,26146) = 341675928
Least Common Multiple of 26136 and 26146 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26136 and 26146, than apply into the LCM equation.
GCF(26136,26146) = 2
LCM(26136,26146) = ( 26136 × 26146) / 2
LCM(26136,26146) = 683351856 / 2
LCM(26136,26146) = 341675928
Least Common Multiple (LCM) of 26136 and 26146 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26136 and 26146. First we will calculate the prime factors of 26136 and 26146.
Prime Factorization of 26136
Prime factors of 26136 are 2, 3, 11. Prime factorization of 26136 in exponential form is:
26136 = 23 × 33 × 112
Prime Factorization of 26146
Prime factors of 26146 are 2, 17, 769. Prime factorization of 26146 in exponential form is:
26146 = 21 × 171 × 7691
Now multiplying the highest exponent prime factors to calculate the LCM of 26136 and 26146.
LCM(26136,26146) = 23 × 33 × 112 × 171 × 7691
LCM(26136,26146) = 341675928
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