What is the Least Common Multiple of 26165 and 26169?
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 26165 and 26169 is 684711885.
LCM(26165,26169) = 684711885
Least Common Multiple of 26165 and 26169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26165 and 26169, than apply into the LCM equation.
GCF(26165,26169) = 1
LCM(26165,26169) = ( 26165 × 26169) / 1
LCM(26165,26169) = 684711885 / 1
LCM(26165,26169) = 684711885
Least Common Multiple (LCM) of 26165 and 26169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26165 and 26169. First we will calculate the prime factors of 26165 and 26169.
Prime Factorization of 26165
Prime factors of 26165 are 5, 5233. Prime factorization of 26165 in exponential form is:
26165 = 51 × 52331
Prime Factorization of 26169
Prime factors of 26169 are 3, 11, 13, 61. Prime factorization of 26169 in exponential form is:
26169 = 31 × 111 × 131 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 26165 and 26169.
LCM(26165,26169) = 51 × 52331 × 31 × 111 × 131 × 611
LCM(26165,26169) = 684711885
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