What is the Least Common Multiple of 26377 and 26386?
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 26377 and 26386 is 695983522.
LCM(26377,26386) = 695983522
Least Common Multiple of 26377 and 26386 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26377 and 26386, than apply into the LCM equation.
GCF(26377,26386) = 1
LCM(26377,26386) = ( 26377 × 26386) / 1
LCM(26377,26386) = 695983522 / 1
LCM(26377,26386) = 695983522
Least Common Multiple (LCM) of 26377 and 26386 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26377 and 26386. First we will calculate the prime factors of 26377 and 26386.
Prime Factorization of 26377
Prime factors of 26377 are 13, 2029. Prime factorization of 26377 in exponential form is:
26377 = 131 × 20291
Prime Factorization of 26386
Prime factors of 26386 are 2, 79, 167. Prime factorization of 26386 in exponential form is:
26386 = 21 × 791 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 26377 and 26386.
LCM(26377,26386) = 131 × 20291 × 21 × 791 × 1671
LCM(26377,26386) = 695983522
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