Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4238 and 4242 the smallest integer that is 8988798 that is divisible by both numbers.
Least Common Multiple (LCM) of 4238 and 4242 is 8988798.
LCM(4238,4242) = 8988798
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 4238 and 4242. First we will calculate the prime factors of 4238 and 4242.
Prime Factorization of 4238
2 | 4238 |
13 | 2119 |
163 | 163 |
1 |
Prime factors of 4238 are 2, 13,163. Prime factorization of 4238 in exponential form is:
4238 = 21×131×1631
Prime Factorization of 4242
2 | 4242 |
3 | 2121 |
7 | 707 |
101 | 101 |
1 |
Prime factors of 4242 are 2, 3, 7,101. Prime factorization of 4242 in exponential form is:
4242 = 21×31×71×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 4238 and 4242.
LCM(4238,4242) = 21×31×71×131×1011×1631
LCM(4238,4242) = 8988798
Factors of 4238
List of positive integer factors of 4238 that divides 4238 without a remainder.
1, 2, 13, 26, 163, 326, 2119, 4238
Factors of 4242
List of positive integer factors of 4242 that divides 4242 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 101, 202, 303, 606, 707, 1414, 2121, 4242
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4238 and 4242, than apply into the LCM equation.
GCF(4238,4242) = 2
LCM(4238,4242) = ( 4238 × 4242) / 2
LCM(4238,4242) = 17977596 / 2
LCM(4238,4242) = 8988798
(i) The LCM of 4242 and 4238 is associative
LCM of 4238 and 4242 = LCM of 4242 and 4238
1. What is the LCM of 4238 and 4242?
Answer: LCM of 4238 and 4242 is 8988798.
2. What are the Factors of 4238?
Answer: Factors of 4238 are 1, 2, 13, 26, 163, 326, 2119, 4238. There are 8 integers that are factors of 4238. The greatest factor of 4238 is 4238.
3. What are the Factors of 4242?
Answer: Factors of 4242 are 1, 2, 3, 6, 7, 14, 21, 42, 101, 202, 303, 606, 707, 1414, 2121, 4242. There are 16 integers that are factors of 4242. The greatest factor of 4242 is 4242.
4. How to Find the LCM of 4238 and 4242?
Answer:
Least Common Multiple of 4238 and 4242 = 8988798
Step 1: Find the prime factorization of 4238
4238 = 2 x 13 x 163
Step 2: Find the prime factorization of 4242
4242 = 2 x 3 x 7 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8988798 = 2 x 3 x 7 x 13 x 101 x 163
Step 4: Therefore, the least common multiple of 4238 and 4242 is 8988798.