What is the Least Common Multiple of 16812 and 16822?
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 16812 and 16822 is 141405732.
LCM(16812,16822) = 141405732
Least Common Multiple of 16812 and 16822 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16812 and 16822, than apply into the LCM equation.
GCF(16812,16822) = 2
LCM(16812,16822) = ( 16812 × 16822) / 2
LCM(16812,16822) = 282811464 / 2
LCM(16812,16822) = 141405732
Least Common Multiple (LCM) of 16812 and 16822 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16812 and 16822. First we will calculate the prime factors of 16812 and 16822.
Prime Factorization of 16812
Prime factors of 16812 are 2, 3, 467. Prime factorization of 16812 in exponential form is:
16812 = 22 × 32 × 4671
Prime Factorization of 16822
Prime factors of 16822 are 2, 13, 647. Prime factorization of 16822 in exponential form is:
16822 = 21 × 131 × 6471
Now multiplying the highest exponent prime factors to calculate the LCM of 16812 and 16822.
LCM(16812,16822) = 22 × 32 × 4671 × 131 × 6471
LCM(16812,16822) = 141405732
Related Least Common Multiples of 16812
- LCM of 16812 and 16816
- LCM of 16812 and 16817
- LCM of 16812 and 16818
- LCM of 16812 and 16819
- LCM of 16812 and 16820
- LCM of 16812 and 16821
- LCM of 16812 and 16822
- LCM of 16812 and 16823
- LCM of 16812 and 16824
- LCM of 16812 and 16825
- LCM of 16812 and 16826
- LCM of 16812 and 16827
- LCM of 16812 and 16828
- LCM of 16812 and 16829
- LCM of 16812 and 16830
- LCM of 16812 and 16831
- LCM of 16812 and 16832
Related Least Common Multiples of 16822
- LCM of 16822 and 16826
- LCM of 16822 and 16827
- LCM of 16822 and 16828
- LCM of 16822 and 16829
- LCM of 16822 and 16830
- LCM of 16822 and 16831
- LCM of 16822 and 16832
- LCM of 16822 and 16833
- LCM of 16822 and 16834
- LCM of 16822 and 16835
- LCM of 16822 and 16836
- LCM of 16822 and 16837
- LCM of 16822 and 16838
- LCM of 16822 and 16839
- LCM of 16822 and 16840
- LCM of 16822 and 16841
- LCM of 16822 and 16842