What is the Least Common Multiple of 26169 and 26174?
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 26169 and 26174 is 684947406.
LCM(26169,26174) = 684947406
Least Common Multiple of 26169 and 26174 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26169 and 26174, than apply into the LCM equation.
GCF(26169,26174) = 1
LCM(26169,26174) = ( 26169 × 26174) / 1
LCM(26169,26174) = 684947406 / 1
LCM(26169,26174) = 684947406
Least Common Multiple (LCM) of 26169 and 26174 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26169 and 26174. First we will calculate the prime factors of 26169 and 26174.
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
Prime Factorization of 26174
Prime factors of 26174 are 2, 23, 569. Prime factorization of 26174 in exponential form is:
26174 = 21 × 231 × 5691
Now multiplying the highest exponent prime factors to calculate the LCM of 26169 and 26174.
LCM(26169,26174) = 31 × 111 × 131 × 611 × 21 × 231 × 5691
LCM(26169,26174) = 684947406
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