Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2094 and 2099 the smallest integer that is 4395306 that is divisible by both numbers.
Least Common Multiple (LCM) of 2094 and 2099 is 4395306.
LCM(2094,2099) = 4395306
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2094 and 2099. First we will calculate the prime factors of 2094 and 2099.
Prime Factorization of 2094
2 | 2094 |
3 | 1047 |
349 | 349 |
1 |
Prime factors of 2094 are 2, 3,349. Prime factorization of 2094 in exponential form is:
2094 = 21×31×3491
Prime Factorization of 2099
2099 | 2099 |
1 |
Prime factors of 2099 are 2099. Prime factorization of 2099 in exponential form is:
2099 = 20991
Now multiplying the highest exponent prime factors to calculate the LCM of 2094 and 2099.
LCM(2094,2099) = 21×31×3491×20991
LCM(2094,2099) = 4395306
Factors of 2094
List of positive integer factors of 2094 that divides 2094 without a remainder.
1, 2, 3, 6, 349, 698, 1047, 2094
Factors of 2099
List of positive integer factors of 2099 that divides 2099 without a remainder.
1, 2099
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2094 and 2099, than apply into the LCM equation.
GCF(2094,2099) = 1
LCM(2094,2099) = ( 2094 × 2099) / 1
LCM(2094,2099) = 4395306 / 1
LCM(2094,2099) = 4395306
(i) The LCM of 2099 and 2094 is associative
LCM of 2094 and 2099 = LCM of 2099 and 2094
1. What is the LCM of 2094 and 2099?
Answer: LCM of 2094 and 2099 is 4395306.
2. What are the Factors of 2094?
Answer: Factors of 2094 are 1, 2, 3, 6, 349, 698, 1047, 2094. There are 8 integers that are factors of 2094. The greatest factor of 2094 is 2094.
3. What are the Factors of 2099?
Answer: Factors of 2099 are 1, 2099. There are 2 integers that are factors of 2099. The greatest factor of 2099 is 2099.
4. How to Find the LCM of 2094 and 2099?
Answer:
Least Common Multiple of 2094 and 2099 = 4395306
Step 1: Find the prime factorization of 2094
2094 = 2 x 3 x 349
Step 2: Find the prime factorization of 2099
2099 = 2099
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4395306 = 2 x 3 x 349 x 2099
Step 4: Therefore, the least common multiple of 2094 and 2099 is 4395306.