What is the Least Common Multiple of 20927 and 20947?
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 20927 and 20947 is 438357869.
LCM(20927,20947) = 438357869
Least Common Multiple of 20927 and 20947 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20927 and 20947, than apply into the LCM equation.
GCF(20927,20947) = 1
LCM(20927,20947) = ( 20927 × 20947) / 1
LCM(20927,20947) = 438357869 / 1
LCM(20927,20947) = 438357869
Least Common Multiple (LCM) of 20927 and 20947 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20927 and 20947. First we will calculate the prime factors of 20927 and 20947.
Prime Factorization of 20927
Prime factors of 20927 are 17, 1231. Prime factorization of 20927 in exponential form is:
20927 = 171 × 12311
Prime Factorization of 20947
Prime factors of 20947 are 20947. Prime factorization of 20947 in exponential form is:
20947 = 209471
Now multiplying the highest exponent prime factors to calculate the LCM of 20927 and 20947.
LCM(20927,20947) = 171 × 12311 × 209471
LCM(20927,20947) = 438357869
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