What is the Least Common Multiple of 26189 and 26207?
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 26189 and 26207 is 686335123.
LCM(26189,26207) = 686335123
Least Common Multiple of 26189 and 26207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26189 and 26207, than apply into the LCM equation.
GCF(26189,26207) = 1
LCM(26189,26207) = ( 26189 × 26207) / 1
LCM(26189,26207) = 686335123 / 1
LCM(26189,26207) = 686335123
Least Common Multiple (LCM) of 26189 and 26207 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26189 and 26207. First we will calculate the prime factors of 26189 and 26207.
Prime Factorization of 26189
Prime factors of 26189 are 26189. Prime factorization of 26189 in exponential form is:
26189 = 261891
Prime Factorization of 26207
Prime factors of 26207 are 73, 359. Prime factorization of 26207 in exponential form is:
26207 = 731 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 26189 and 26207.
LCM(26189,26207) = 261891 × 731 × 3591
LCM(26189,26207) = 686335123
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