Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4342 and 4345 the smallest integer that is 18865990 that is divisible by both numbers.
Least Common Multiple (LCM) of 4342 and 4345 is 18865990.
LCM(4342,4345) = 18865990
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 4342 and 4345. First we will calculate the prime factors of 4342 and 4345.
Prime Factorization of 4342
2 | 4342 |
13 | 2171 |
167 | 167 |
1 |
Prime factors of 4342 are 2, 13,167. Prime factorization of 4342 in exponential form is:
4342 = 21×131×1671
Prime Factorization of 4345
5 | 4345 |
11 | 869 |
79 | 79 |
1 |
Prime factors of 4345 are 5, 11,79. Prime factorization of 4345 in exponential form is:
4345 = 51×111×791
Now multiplying the highest exponent prime factors to calculate the LCM of 4342 and 4345.
LCM(4342,4345) = 21×51×111×131×791×1671
LCM(4342,4345) = 18865990
Factors of 4342
List of positive integer factors of 4342 that divides 4342 without a remainder.
1, 2, 13, 26, 167, 334, 2171, 4342
Factors of 4345
List of positive integer factors of 4345 that divides 4345 without a remainder.
1, 5, 11, 55, 79, 395, 869, 4345
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4342 and 4345, than apply into the LCM equation.
GCF(4342,4345) = 1
LCM(4342,4345) = ( 4342 × 4345) / 1
LCM(4342,4345) = 18865990 / 1
LCM(4342,4345) = 18865990
(i) The LCM of 4345 and 4342 is associative
LCM of 4342 and 4345 = LCM of 4345 and 4342
1. What is the LCM of 4342 and 4345?
Answer: LCM of 4342 and 4345 is 18865990.
2. What are the Factors of 4342?
Answer: Factors of 4342 are 1, 2, 13, 26, 167, 334, 2171, 4342. There are 8 integers that are factors of 4342. The greatest factor of 4342 is 4342.
3. What are the Factors of 4345?
Answer: Factors of 4345 are 1, 5, 11, 55, 79, 395, 869, 4345. There are 8 integers that are factors of 4345. The greatest factor of 4345 is 4345.
4. How to Find the LCM of 4342 and 4345?
Answer:
Least Common Multiple of 4342 and 4345 = 18865990
Step 1: Find the prime factorization of 4342
4342 = 2 x 13 x 167
Step 2: Find the prime factorization of 4345
4345 = 5 x 11 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18865990 = 2 x 5 x 11 x 13 x 79 x 167
Step 4: Therefore, the least common multiple of 4342 and 4345 is 18865990.