What is the Least Common Multiple of 26140 and 26151?
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 26140 and 26151 is 683587140.
LCM(26140,26151) = 683587140
Least Common Multiple of 26140 and 26151 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26140 and 26151, than apply into the LCM equation.
GCF(26140,26151) = 1
LCM(26140,26151) = ( 26140 × 26151) / 1
LCM(26140,26151) = 683587140 / 1
LCM(26140,26151) = 683587140
Least Common Multiple (LCM) of 26140 and 26151 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26140 and 26151. First we will calculate the prime factors of 26140 and 26151.
Prime Factorization of 26140
Prime factors of 26140 are 2, 5, 1307. Prime factorization of 26140 in exponential form is:
26140 = 22 × 51 × 13071
Prime Factorization of 26151
Prime factors of 26151 are 3, 23, 379. Prime factorization of 26151 in exponential form is:
26151 = 31 × 231 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 26140 and 26151.
LCM(26140,26151) = 22 × 51 × 13071 × 31 × 231 × 3791
LCM(26140,26151) = 683587140
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