What is the Least Common Multiple of 26143 and 26159?
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 26143 and 26159 is 683874737.
LCM(26143,26159) = 683874737
Least Common Multiple of 26143 and 26159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26143 and 26159, than apply into the LCM equation.
GCF(26143,26159) = 1
LCM(26143,26159) = ( 26143 × 26159) / 1
LCM(26143,26159) = 683874737 / 1
LCM(26143,26159) = 683874737
Least Common Multiple (LCM) of 26143 and 26159 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26143 and 26159. First we will calculate the prime factors of 26143 and 26159.
Prime Factorization of 26143
Prime factors of 26143 are 13, 2011. Prime factorization of 26143 in exponential form is:
26143 = 131 × 20111
Prime Factorization of 26159
Prime factors of 26159 are 7, 37, 101. Prime factorization of 26159 in exponential form is:
26159 = 71 × 371 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 26143 and 26159.
LCM(26143,26159) = 131 × 20111 × 71 × 371 × 1011
LCM(26143,26159) = 683874737
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