What is the Least Common Multiple of 26199 and 26205?
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 26199 and 26205 is 228848265.
LCM(26199,26205) = 228848265
Least Common Multiple of 26199 and 26205 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26199 and 26205, than apply into the LCM equation.
GCF(26199,26205) = 3
LCM(26199,26205) = ( 26199 × 26205) / 3
LCM(26199,26205) = 686544795 / 3
LCM(26199,26205) = 228848265
Least Common Multiple (LCM) of 26199 and 26205 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26199 and 26205. First we will calculate the prime factors of 26199 and 26205.
Prime Factorization of 26199
Prime factors of 26199 are 3, 41, 71. Prime factorization of 26199 in exponential form is:
26199 = 32 × 411 × 711
Prime Factorization of 26205
Prime factors of 26205 are 3, 5, 1747. Prime factorization of 26205 in exponential form is:
26205 = 31 × 51 × 17471
Now multiplying the highest exponent prime factors to calculate the LCM of 26199 and 26205.
LCM(26199,26205) = 32 × 411 × 711 × 51 × 17471
LCM(26199,26205) = 228848265
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