What is the Least Common Multiple of 26764 and 26781?
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 26764 and 26781 is 716766684.
LCM(26764,26781) = 716766684
Least Common Multiple of 26764 and 26781 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26764 and 26781, than apply into the LCM equation.
GCF(26764,26781) = 1
LCM(26764,26781) = ( 26764 × 26781) / 1
LCM(26764,26781) = 716766684 / 1
LCM(26764,26781) = 716766684
Least Common Multiple (LCM) of 26764 and 26781 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26764 and 26781. First we will calculate the prime factors of 26764 and 26781.
Prime Factorization of 26764
Prime factors of 26764 are 2, 6691. Prime factorization of 26764 in exponential form is:
26764 = 22 × 66911
Prime Factorization of 26781
Prime factors of 26781 are 3, 79, 113. Prime factorization of 26781 in exponential form is:
26781 = 31 × 791 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 26764 and 26781.
LCM(26764,26781) = 22 × 66911 × 31 × 791 × 1131
LCM(26764,26781) = 716766684
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