What is the Least Common Multiple of 20769 and 20786?
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 20769 and 20786 is 431704434.
LCM(20769,20786) = 431704434
Least Common Multiple of 20769 and 20786 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20769 and 20786, than apply into the LCM equation.
GCF(20769,20786) = 1
LCM(20769,20786) = ( 20769 × 20786) / 1
LCM(20769,20786) = 431704434 / 1
LCM(20769,20786) = 431704434
Least Common Multiple (LCM) of 20769 and 20786 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20769 and 20786. First we will calculate the prime factors of 20769 and 20786.
Prime Factorization of 20769
Prime factors of 20769 are 3, 7, 23, 43. Prime factorization of 20769 in exponential form is:
20769 = 31 × 71 × 231 × 431
Prime Factorization of 20786
Prime factors of 20786 are 2, 19, 547. Prime factorization of 20786 in exponential form is:
20786 = 21 × 191 × 5471
Now multiplying the highest exponent prime factors to calculate the LCM of 20769 and 20786.
LCM(20769,20786) = 31 × 71 × 231 × 431 × 21 × 191 × 5471
LCM(20769,20786) = 431704434
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