What is the Least Common Multiple of 26138 and 26142?
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 26138 and 26142 is 341649798.
LCM(26138,26142) = 341649798
Least Common Multiple of 26138 and 26142 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26138 and 26142, than apply into the LCM equation.
GCF(26138,26142) = 2
LCM(26138,26142) = ( 26138 × 26142) / 2
LCM(26138,26142) = 683299596 / 2
LCM(26138,26142) = 341649798
Least Common Multiple (LCM) of 26138 and 26142 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26138 and 26142. First we will calculate the prime factors of 26138 and 26142.
Prime Factorization of 26138
Prime factors of 26138 are 2, 7, 1867. Prime factorization of 26138 in exponential form is:
26138 = 21 × 71 × 18671
Prime Factorization of 26142
Prime factors of 26142 are 2, 3, 4357. Prime factorization of 26142 in exponential form is:
26142 = 21 × 31 × 43571
Now multiplying the highest exponent prime factors to calculate the LCM of 26138 and 26142.
LCM(26138,26142) = 21 × 71 × 18671 × 31 × 43571
LCM(26138,26142) = 341649798
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