Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4363 and 4367 the smallest integer that is 19053221 that is divisible by both numbers.
Least Common Multiple (LCM) of 4363 and 4367 is 19053221.
LCM(4363,4367) = 19053221
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 4363 and 4367. First we will calculate the prime factors of 4363 and 4367.
Prime Factorization of 4363
4363 | 4363 |
1 |
Prime factors of 4363 are 4363. Prime factorization of 4363 in exponential form is:
4363 = 43631
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4363 and 4367.
LCM(4363,4367) = 111×3971×43631
LCM(4363,4367) = 19053221
Factors of 4363
List of positive integer factors of 4363 that divides 4363 without a remainder.
1, 4363
Factors of 4367
List of positive integer factors of 4367 that divides 4367 without a remainder.
1, 11, 397, 4367
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4363 and 4367, than apply into the LCM equation.
GCF(4363,4367) = 1
LCM(4363,4367) = ( 4363 × 4367) / 1
LCM(4363,4367) = 19053221 / 1
LCM(4363,4367) = 19053221
(i) The LCM of 4367 and 4363 is associative
LCM of 4363 and 4367 = LCM of 4367 and 4363
1. What is the LCM of 4363 and 4367?
Answer: LCM of 4363 and 4367 is 19053221.
2. What are the Factors of 4363?
Answer: Factors of 4363 are 1, 4363. There are 2 integers that are factors of 4363. The greatest factor of 4363 is 4363.
3. 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.
4. How to Find the LCM of 4363 and 4367?
Answer:
Least Common Multiple of 4363 and 4367 = 19053221
Step 1: Find the prime factorization of 4363
4363 = 4363
Step 2: Find the prime factorization of 4367
4367 = 11 x 397
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19053221 = 11 x 397 x 4363
Step 4: Therefore, the least common multiple of 4363 and 4367 is 19053221.