What is the Least Common Multiple of 26171 and 26177?
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 26171 and 26177 is 685078267.
LCM(26171,26177) = 685078267
Least Common Multiple of 26171 and 26177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26171 and 26177, than apply into the LCM equation.
GCF(26171,26177) = 1
LCM(26171,26177) = ( 26171 × 26177) / 1
LCM(26171,26177) = 685078267 / 1
LCM(26171,26177) = 685078267
Least Common Multiple (LCM) of 26171 and 26177 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26171 and 26177. First we will calculate the prime factors of 26171 and 26177.
Prime Factorization of 26171
Prime factors of 26171 are 26171. Prime factorization of 26171 in exponential form is:
26171 = 261711
Prime Factorization of 26177
Prime factors of 26177 are 26177. Prime factorization of 26177 in exponential form is:
26177 = 261771
Now multiplying the highest exponent prime factors to calculate the LCM of 26171 and 26177.
LCM(26171,26177) = 261711 × 261771
LCM(26171,26177) = 685078267
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