What is the Least Common Multiple of 26138 and 26157?
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 26157 is 683691666.
LCM(26138,26157) = 683691666
Least Common Multiple of 26138 and 26157 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 26157, than apply into the LCM equation.
GCF(26138,26157) = 1
LCM(26138,26157) = ( 26138 × 26157) / 1
LCM(26138,26157) = 683691666 / 1
LCM(26138,26157) = 683691666
Least Common Multiple (LCM) of 26138 and 26157 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26138 and 26157. First we will calculate the prime factors of 26138 and 26157.
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 26157
Prime factors of 26157 are 3, 8719. Prime factorization of 26157 in exponential form is:
26157 = 31 × 87191
Now multiplying the highest exponent prime factors to calculate the LCM of 26138 and 26157.
LCM(26138,26157) = 21 × 71 × 18671 × 31 × 87191
LCM(26138,26157) = 683691666
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