What is the Least Common Multiple of 26221 and 26241?
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 26221 and 26241 is 688065261.
LCM(26221,26241) = 688065261
Least Common Multiple of 26221 and 26241 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26221 and 26241, than apply into the LCM equation.
GCF(26221,26241) = 1
LCM(26221,26241) = ( 26221 × 26241) / 1
LCM(26221,26241) = 688065261 / 1
LCM(26221,26241) = 688065261
Least Common Multiple (LCM) of 26221 and 26241 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26221 and 26241. First we will calculate the prime factors of 26221 and 26241.
Prime Factorization of 26221
Prime factors of 26221 are 13, 2017. Prime factorization of 26221 in exponential form is:
26221 = 131 × 20171
Prime Factorization of 26241
Prime factors of 26241 are 3, 8747. Prime factorization of 26241 in exponential form is:
26241 = 31 × 87471
Now multiplying the highest exponent prime factors to calculate the LCM of 26221 and 26241.
LCM(26221,26241) = 131 × 20171 × 31 × 87471
LCM(26221,26241) = 688065261
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