Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4846 and 4854 the smallest integer that is 11761242 that is divisible by both numbers.
Least Common Multiple (LCM) of 4846 and 4854 is 11761242.
LCM(4846,4854) = 11761242
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 4846 and 4854. First we will calculate the prime factors of 4846 and 4854.
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
Prime Factorization of 4854
2 | 4854 |
3 | 2427 |
809 | 809 |
1 |
Prime factors of 4854 are 2, 3,809. Prime factorization of 4854 in exponential form is:
4854 = 21×31×8091
Now multiplying the highest exponent prime factors to calculate the LCM of 4846 and 4854.
LCM(4846,4854) = 21×31×8091×24231
LCM(4846,4854) = 11761242
Factors of 4846
List of positive integer factors of 4846 that divides 4846 without a remainder.
1, 2, 2423, 4846
Factors of 4854
List of positive integer factors of 4854 that divides 4854 without a remainder.
1, 2, 3, 6, 809, 1618, 2427, 4854
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4846 and 4854, than apply into the LCM equation.
GCF(4846,4854) = 2
LCM(4846,4854) = ( 4846 × 4854) / 2
LCM(4846,4854) = 23522484 / 2
LCM(4846,4854) = 11761242
(i) The LCM of 4854 and 4846 is associative
LCM of 4846 and 4854 = LCM of 4854 and 4846
1. What is the LCM of 4846 and 4854?
Answer: LCM of 4846 and 4854 is 11761242.
2. 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.
3. What are the Factors of 4854?
Answer: Factors of 4854 are 1, 2, 3, 6, 809, 1618, 2427, 4854. There are 8 integers that are factors of 4854. The greatest factor of 4854 is 4854.
4. How to Find the LCM of 4846 and 4854?
Answer:
Least Common Multiple of 4846 and 4854 = 11761242
Step 1: Find the prime factorization of 4846
4846 = 2 x 2423
Step 2: Find the prime factorization of 4854
4854 = 2 x 3 x 809
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11761242 = 2 x 3 x 809 x 2423
Step 4: Therefore, the least common multiple of 4846 and 4854 is 11761242.