What is the Least Common Multiple of 26376 and 26391?
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 26376 and 26391 is 232029672.
LCM(26376,26391) = 232029672
Least Common Multiple of 26376 and 26391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26376 and 26391, than apply into the LCM equation.
GCF(26376,26391) = 3
LCM(26376,26391) = ( 26376 × 26391) / 3
LCM(26376,26391) = 696089016 / 3
LCM(26376,26391) = 232029672
Least Common Multiple (LCM) of 26376 and 26391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26376 and 26391. First we will calculate the prime factors of 26376 and 26391.
Prime Factorization of 26376
Prime factors of 26376 are 2, 3, 7, 157. Prime factorization of 26376 in exponential form is:
26376 = 23 × 31 × 71 × 1571
Prime Factorization of 26391
Prime factors of 26391 are 3, 19, 463. Prime factorization of 26391 in exponential form is:
26391 = 31 × 191 × 4631
Now multiplying the highest exponent prime factors to calculate the LCM of 26376 and 26391.
LCM(26376,26391) = 23 × 31 × 71 × 1571 × 191 × 4631
LCM(26376,26391) = 232029672
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