What is the Least Common Multiple of 26786 and 26791?
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 26786 and 26791 is 717623726.
LCM(26786,26791) = 717623726
Least Common Multiple of 26786 and 26791 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26786 and 26791, than apply into the LCM equation.
GCF(26786,26791) = 1
LCM(26786,26791) = ( 26786 × 26791) / 1
LCM(26786,26791) = 717623726 / 1
LCM(26786,26791) = 717623726
Least Common Multiple (LCM) of 26786 and 26791 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26786 and 26791. First we will calculate the prime factors of 26786 and 26791.
Prime Factorization of 26786
Prime factors of 26786 are 2, 59, 227. Prime factorization of 26786 in exponential form is:
26786 = 21 × 591 × 2271
Prime Factorization of 26791
Prime factors of 26791 are 73, 367. Prime factorization of 26791 in exponential form is:
26791 = 731 × 3671
Now multiplying the highest exponent prime factors to calculate the LCM of 26786 and 26791.
LCM(26786,26791) = 21 × 591 × 2271 × 731 × 3671
LCM(26786,26791) = 717623726
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