What is the Least Common Multiple of 26093 and 26097?
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 26093 and 26097 is 680949021.
LCM(26093,26097) = 680949021
Least Common Multiple of 26093 and 26097 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26093 and 26097, than apply into the LCM equation.
GCF(26093,26097) = 1
LCM(26093,26097) = ( 26093 × 26097) / 1
LCM(26093,26097) = 680949021 / 1
LCM(26093,26097) = 680949021
Least Common Multiple (LCM) of 26093 and 26097 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26093 and 26097. First we will calculate the prime factors of 26093 and 26097.
Prime Factorization of 26093
Prime factors of 26093 are 97, 269. Prime factorization of 26093 in exponential form is:
26093 = 971 × 2691
Prime Factorization of 26097
Prime factors of 26097 are 3, 8699. Prime factorization of 26097 in exponential form is:
26097 = 31 × 86991
Now multiplying the highest exponent prime factors to calculate the LCM of 26093 and 26097.
LCM(26093,26097) = 971 × 2691 × 31 × 86991
LCM(26093,26097) = 680949021
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