What is the Least Common Multiple of 20811 and 20821?
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 20811 and 20821 is 433305831.
LCM(20811,20821) = 433305831
Least Common Multiple of 20811 and 20821 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20811 and 20821, than apply into the LCM equation.
GCF(20811,20821) = 1
LCM(20811,20821) = ( 20811 × 20821) / 1
LCM(20811,20821) = 433305831 / 1
LCM(20811,20821) = 433305831
Least Common Multiple (LCM) of 20811 and 20821 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20811 and 20821. First we will calculate the prime factors of 20811 and 20821.
Prime Factorization of 20811
Prime factors of 20811 are 3, 7, 991. Prime factorization of 20811 in exponential form is:
20811 = 31 × 71 × 9911
Prime Factorization of 20821
Prime factors of 20821 are 47, 443. Prime factorization of 20821 in exponential form is:
20821 = 471 × 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 20811 and 20821.
LCM(20811,20821) = 31 × 71 × 9911 × 471 × 4431
LCM(20811,20821) = 433305831
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