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 4362 the smallest integer that is 19022682 that is divisible by both numbers.
Least Common Multiple (LCM) of 4361 and 4362 is 19022682.
LCM(4361,4362) = 19022682
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 4362. First we will calculate the prime factors of 4361 and 4362.
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 4362
2 | 4362 |
3 | 2181 |
727 | 727 |
1 |
Prime factors of 4362 are 2, 3,727. Prime factorization of 4362 in exponential form is:
4362 = 21×31×7271
Now multiplying the highest exponent prime factors to calculate the LCM of 4361 and 4362.
LCM(4361,4362) = 21×31×72×891×7271
LCM(4361,4362) = 19022682
Factors of 4361
List of positive integer factors of 4361 that divides 4361 without a remainder.
1, 7, 49, 89, 623, 4361
Factors of 4362
List of positive integer factors of 4362 that divides 4362 without a remainder.
1, 2, 3, 6, 727, 1454, 2181, 4362
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4361 and 4362, than apply into the LCM equation.
GCF(4361,4362) = 1
LCM(4361,4362) = ( 4361 × 4362) / 1
LCM(4361,4362) = 19022682 / 1
LCM(4361,4362) = 19022682
(i) The LCM of 4362 and 4361 is associative
LCM of 4361 and 4362 = LCM of 4362 and 4361
1. What is the LCM of 4361 and 4362?
Answer: LCM of 4361 and 4362 is 19022682.
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 4362?
Answer: Factors of 4362 are 1, 2, 3, 6, 727, 1454, 2181, 4362. There are 8 integers that are factors of 4362. The greatest factor of 4362 is 4362.
4. How to Find the LCM of 4361 and 4362?
Answer:
Least Common Multiple of 4361 and 4362 = 19022682
Step 1: Find the prime factorization of 4361
4361 = 7 x 7 x 89
Step 2: Find the prime factorization of 4362
4362 = 2 x 3 x 727
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19022682 = 2 x 3 x 7 x 7 x 89 x 727
Step 4: Therefore, the least common multiple of 4361 and 4362 is 19022682.