What is the Least Common Multiple of 20827 and 20845?
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 20827 and 20845 is 434138815.
LCM(20827,20845) = 434138815
Least Common Multiple of 20827 and 20845 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20827 and 20845, than apply into the LCM equation.
GCF(20827,20845) = 1
LCM(20827,20845) = ( 20827 × 20845) / 1
LCM(20827,20845) = 434138815 / 1
LCM(20827,20845) = 434138815
Least Common Multiple (LCM) of 20827 and 20845 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20827 and 20845. First we will calculate the prime factors of 20827 and 20845.
Prime Factorization of 20827
Prime factors of 20827 are 59, 353. Prime factorization of 20827 in exponential form is:
20827 = 591 × 3531
Prime Factorization of 20845
Prime factors of 20845 are 5, 11, 379. Prime factorization of 20845 in exponential form is:
20845 = 51 × 111 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 20827 and 20845.
LCM(20827,20845) = 591 × 3531 × 51 × 111 × 3791
LCM(20827,20845) = 434138815
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