Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4855 and 4861 the smallest integer that is 23600155 that is divisible by both numbers.
Least Common Multiple (LCM) of 4855 and 4861 is 23600155.
LCM(4855,4861) = 23600155
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 4855 and 4861. First we will calculate the prime factors of 4855 and 4861.
Prime Factorization of 4855
5 | 4855 |
971 | 971 |
1 |
Prime factors of 4855 are 5,971. Prime factorization of 4855 in exponential form is:
4855 = 51×9711
Prime Factorization of 4861
4861 | 4861 |
1 |
Prime factors of 4861 are 4861. Prime factorization of 4861 in exponential form is:
4861 = 48611
Now multiplying the highest exponent prime factors to calculate the LCM of 4855 and 4861.
LCM(4855,4861) = 51×9711×48611
LCM(4855,4861) = 23600155
Factors of 4855
List of positive integer factors of 4855 that divides 4855 without a remainder.
1, 5, 971, 4855
Factors of 4861
List of positive integer factors of 4861 that divides 4861 without a remainder.
1, 4861
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4855 and 4861, than apply into the LCM equation.
GCF(4855,4861) = 1
LCM(4855,4861) = ( 4855 × 4861) / 1
LCM(4855,4861) = 23600155 / 1
LCM(4855,4861) = 23600155
(i) The LCM of 4861 and 4855 is associative
LCM of 4855 and 4861 = LCM of 4861 and 4855
1. What is the LCM of 4855 and 4861?
Answer: LCM of 4855 and 4861 is 23600155.
2. What are the Factors of 4855?
Answer: Factors of 4855 are 1, 5, 971, 4855. There are 4 integers that are factors of 4855. The greatest factor of 4855 is 4855.
3. What are the Factors of 4861?
Answer: Factors of 4861 are 1, 4861. There are 2 integers that are factors of 4861. The greatest factor of 4861 is 4861.
4. How to Find the LCM of 4855 and 4861?
Answer:
Least Common Multiple of 4855 and 4861 = 23600155
Step 1: Find the prime factorization of 4855
4855 = 5 x 971
Step 2: Find the prime factorization of 4861
4861 = 4861
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23600155 = 5 x 971 x 4861
Step 4: Therefore, the least common multiple of 4855 and 4861 is 23600155.