What is the Least Common Multiple of 26115 and 26123?
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 26115 and 26123 is 682202145.
LCM(26115,26123) = 682202145
Least Common Multiple of 26115 and 26123 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26115 and 26123, than apply into the LCM equation.
GCF(26115,26123) = 1
LCM(26115,26123) = ( 26115 × 26123) / 1
LCM(26115,26123) = 682202145 / 1
LCM(26115,26123) = 682202145
Least Common Multiple (LCM) of 26115 and 26123 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26115 and 26123. First we will calculate the prime factors of 26115 and 26123.
Prime Factorization of 26115
Prime factors of 26115 are 3, 5, 1741. Prime factorization of 26115 in exponential form is:
26115 = 31 × 51 × 17411
Prime Factorization of 26123
Prime factors of 26123 are 151, 173. Prime factorization of 26123 in exponential form is:
26123 = 1511 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 26115 and 26123.
LCM(26115,26123) = 31 × 51 × 17411 × 1511 × 1731
LCM(26115,26123) = 682202145
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