What is the Least Common Multiple of 26197 and 26204?
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 26197 and 26204 is 686466188.
LCM(26197,26204) = 686466188
Least Common Multiple of 26197 and 26204 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26197 and 26204, than apply into the LCM equation.
GCF(26197,26204) = 1
LCM(26197,26204) = ( 26197 × 26204) / 1
LCM(26197,26204) = 686466188 / 1
LCM(26197,26204) = 686466188
Least Common Multiple (LCM) of 26197 and 26204 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26197 and 26204. First we will calculate the prime factors of 26197 and 26204.
Prime Factorization of 26197
Prime factors of 26197 are 17, 23, 67. Prime factorization of 26197 in exponential form is:
26197 = 171 × 231 × 671
Prime Factorization of 26204
Prime factors of 26204 are 2, 6551. Prime factorization of 26204 in exponential form is:
26204 = 22 × 65511
Now multiplying the highest exponent prime factors to calculate the LCM of 26197 and 26204.
LCM(26197,26204) = 171 × 231 × 671 × 22 × 65511
LCM(26197,26204) = 686466188
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