Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4361 and 4363 the smallest integer that is 19027043 that is divisible by both numbers.
Least Common Multiple (LCM) of 4361 and 4363 is 19027043.
LCM(4361,4363) = 19027043
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 4361 and 4363. First we will calculate the prime factors of 4361 and 4363.
Prime Factorization of 4361
7 | 4361 |
7 | 623 |
89 | 89 |
1 |
Prime factors of 4361 are 7,89. Prime factorization of 4361 in exponential form is:
4361 = 72×891
Prime Factorization of 4363
4363 | 4363 |
1 |
Prime factors of 4363 are 4363. Prime factorization of 4363 in exponential form is:
4363 = 43631
Now multiplying the highest exponent prime factors to calculate the LCM of 4361 and 4363.
LCM(4361,4363) = 72×891×43631
LCM(4361,4363) = 19027043
Factors of 4361
List of positive integer factors of 4361 that divides 4361 without a remainder.
1, 7, 49, 89, 623, 4361
Factors of 4363
List of positive integer factors of 4363 that divides 4363 without a remainder.
1, 4363
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4361 and 4363, than apply into the LCM equation.
GCF(4361,4363) = 1
LCM(4361,4363) = ( 4361 × 4363) / 1
LCM(4361,4363) = 19027043 / 1
LCM(4361,4363) = 19027043
(i) The LCM of 4363 and 4361 is associative
LCM of 4361 and 4363 = LCM of 4363 and 4361
1. What is the LCM of 4361 and 4363?
Answer: LCM of 4361 and 4363 is 19027043.
2. What are the Factors of 4361?
Answer: Factors of 4361 are 1, 7, 49, 89, 623, 4361. There are 6 integers that are factors of 4361. The greatest factor of 4361 is 4361.
3. 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.
4. How to Find the LCM of 4361 and 4363?
Answer:
Least Common Multiple of 4361 and 4363 = 19027043
Step 1: Find the prime factorization of 4361
4361 = 7 x 7 x 89
Step 2: Find the prime factorization of 4363
4363 = 4363
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19027043 = 7 x 7 x 89 x 4363
Step 4: Therefore, the least common multiple of 4361 and 4363 is 19027043.