Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4842 and 4846 the smallest integer that is 11732166 that is divisible by both numbers.
Least Common Multiple (LCM) of 4842 and 4846 is 11732166.
LCM(4842,4846) = 11732166
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 4842 and 4846. First we will calculate the prime factors of 4842 and 4846.
Prime Factorization of 4842
2 | 4842 |
3 | 2421 |
3 | 807 |
269 | 269 |
1 |
Prime factors of 4842 are 2, 3,269. Prime factorization of 4842 in exponential form is:
4842 = 21×32×2691
Prime Factorization of 4846
2 | 4846 |
2423 | 2423 |
1 |
Prime factors of 4846 are 2,2423. Prime factorization of 4846 in exponential form is:
4846 = 21×24231
Now multiplying the highest exponent prime factors to calculate the LCM of 4842 and 4846.
LCM(4842,4846) = 21×32×2691×24231
LCM(4842,4846) = 11732166
Factors of 4842
List of positive integer factors of 4842 that divides 4842 without a remainder.
1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421, 4842
Factors of 4846
List of positive integer factors of 4846 that divides 4846 without a remainder.
1, 2, 2423, 4846
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4842 and 4846, than apply into the LCM equation.
GCF(4842,4846) = 2
LCM(4842,4846) = ( 4842 × 4846) / 2
LCM(4842,4846) = 23464332 / 2
LCM(4842,4846) = 11732166
(i) The LCM of 4846 and 4842 is associative
LCM of 4842 and 4846 = LCM of 4846 and 4842
1. What is the LCM of 4842 and 4846?
Answer: LCM of 4842 and 4846 is 11732166.
2. What are the Factors of 4842?
Answer: Factors of 4842 are 1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421, 4842. There are 12 integers that are factors of 4842. The greatest factor of 4842 is 4842.
3. What are the Factors of 4846?
Answer: Factors of 4846 are 1, 2, 2423, 4846. There are 4 integers that are factors of 4846. The greatest factor of 4846 is 4846.
4. How to Find the LCM of 4842 and 4846?
Answer:
Least Common Multiple of 4842 and 4846 = 11732166
Step 1: Find the prime factorization of 4842
4842 = 2 x 3 x 3 x 269
Step 2: Find the prime factorization of 4846
4846 = 2 x 2423
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11732166 = 2 x 3 x 3 x 269 x 2423
Step 4: Therefore, the least common multiple of 4842 and 4846 is 11732166.