Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4367 and 4373 the smallest integer that is 19096891 that is divisible by both numbers.
Least Common Multiple (LCM) of 4367 and 4373 is 19096891.
LCM(4367,4373) = 19096891
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 4367 and 4373. First we will calculate the prime factors of 4367 and 4373.
Prime Factorization of 4367
11 | 4367 |
397 | 397 |
1 |
Prime factors of 4367 are 11,397. Prime factorization of 4367 in exponential form is:
4367 = 111×3971
Prime Factorization of 4373
4373 | 4373 |
1 |
Prime factors of 4373 are 4373. Prime factorization of 4373 in exponential form is:
4373 = 43731
Now multiplying the highest exponent prime factors to calculate the LCM of 4367 and 4373.
LCM(4367,4373) = 111×3971×43731
LCM(4367,4373) = 19096891
Factors of 4367
List of positive integer factors of 4367 that divides 4367 without a remainder.
1, 11, 397, 4367
Factors of 4373
List of positive integer factors of 4373 that divides 4373 without a remainder.
1, 4373
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4367 and 4373, than apply into the LCM equation.
GCF(4367,4373) = 1
LCM(4367,4373) = ( 4367 × 4373) / 1
LCM(4367,4373) = 19096891 / 1
LCM(4367,4373) = 19096891
(i) The LCM of 4373 and 4367 is associative
LCM of 4367 and 4373 = LCM of 4373 and 4367
1. What is the LCM of 4367 and 4373?
Answer: LCM of 4367 and 4373 is 19096891.
2. What are the Factors of 4367?
Answer: Factors of 4367 are 1, 11, 397, 4367. There are 4 integers that are factors of 4367. The greatest factor of 4367 is 4367.
3. What are the Factors of 4373?
Answer: Factors of 4373 are 1, 4373. There are 2 integers that are factors of 4373. The greatest factor of 4373 is 4373.
4. How to Find the LCM of 4367 and 4373?
Answer:
Least Common Multiple of 4367 and 4373 = 19096891
Step 1: Find the prime factorization of 4367
4367 = 11 x 397
Step 2: Find the prime factorization of 4373
4373 = 4373
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19096891 = 11 x 397 x 4373
Step 4: Therefore, the least common multiple of 4367 and 4373 is 19096891.