What is the Least Common Multiple of 20791 and 20795?
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 20791 and 20795 is 432348845.
LCM(20791,20795) = 432348845
Least Common Multiple of 20791 and 20795 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20791 and 20795, than apply into the LCM equation.
GCF(20791,20795) = 1
LCM(20791,20795) = ( 20791 × 20795) / 1
LCM(20791,20795) = 432348845 / 1
LCM(20791,20795) = 432348845
Least Common Multiple (LCM) of 20791 and 20795 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20791 and 20795. First we will calculate the prime factors of 20791 and 20795.
Prime Factorization of 20791
Prime factors of 20791 are 17, 1223. Prime factorization of 20791 in exponential form is:
20791 = 171 × 12231
Prime Factorization of 20795
Prime factors of 20795 are 5, 4159. Prime factorization of 20795 in exponential form is:
20795 = 51 × 41591
Now multiplying the highest exponent prime factors to calculate the LCM of 20791 and 20795.
LCM(20791,20795) = 171 × 12231 × 51 × 41591
LCM(20791,20795) = 432348845
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