What is the Least Common Multiple of 20809 and 20827?
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 20809 and 20827 is 433389043.
LCM(20809,20827) = 433389043
Least Common Multiple of 20809 and 20827 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20809 and 20827, than apply into the LCM equation.
GCF(20809,20827) = 1
LCM(20809,20827) = ( 20809 × 20827) / 1
LCM(20809,20827) = 433389043 / 1
LCM(20809,20827) = 433389043
Least Common Multiple (LCM) of 20809 and 20827 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20809 and 20827. First we will calculate the prime factors of 20809 and 20827.
Prime Factorization of 20809
Prime factors of 20809 are 20809. Prime factorization of 20809 in exponential form is:
20809 = 208091
Prime Factorization of 20827
Prime factors of 20827 are 59, 353. Prime factorization of 20827 in exponential form is:
20827 = 591 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 20809 and 20827.
LCM(20809,20827) = 208091 × 591 × 3531
LCM(20809,20827) = 433389043
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