What is the Least Common Multiple of 26827 and 26844?
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 26827 and 26844 is 720143988.
LCM(26827,26844) = 720143988
Least Common Multiple of 26827 and 26844 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26827 and 26844, than apply into the LCM equation.
GCF(26827,26844) = 1
LCM(26827,26844) = ( 26827 × 26844) / 1
LCM(26827,26844) = 720143988 / 1
LCM(26827,26844) = 720143988
Least Common Multiple (LCM) of 26827 and 26844 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26827 and 26844. First we will calculate the prime factors of 26827 and 26844.
Prime Factorization of 26827
Prime factors of 26827 are 139, 193. Prime factorization of 26827 in exponential form is:
26827 = 1391 × 1931
Prime Factorization of 26844
Prime factors of 26844 are 2, 3, 2237. Prime factorization of 26844 in exponential form is:
26844 = 22 × 31 × 22371
Now multiplying the highest exponent prime factors to calculate the LCM of 26827 and 26844.
LCM(26827,26844) = 1391 × 1931 × 22 × 31 × 22371
LCM(26827,26844) = 720143988
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