Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4808 and 4813 the smallest integer that is 23140904 that is divisible by both numbers.
Least Common Multiple (LCM) of 4808 and 4813 is 23140904.
LCM(4808,4813) = 23140904
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 4808 and 4813. First we will calculate the prime factors of 4808 and 4813.
Prime Factorization of 4808
2 | 4808 |
2 | 2404 |
2 | 1202 |
601 | 601 |
1 |
Prime factors of 4808 are 2,601. Prime factorization of 4808 in exponential form is:
4808 = 23×6011
Prime Factorization of 4813
4813 | 4813 |
1 |
Prime factors of 4813 are 4813. Prime factorization of 4813 in exponential form is:
4813 = 48131
Now multiplying the highest exponent prime factors to calculate the LCM of 4808 and 4813.
LCM(4808,4813) = 23×6011×48131
LCM(4808,4813) = 23140904
Factors of 4808
List of positive integer factors of 4808 that divides 4808 without a remainder.
1, 2, 4, 8, 601, 1202, 2404, 4808
Factors of 4813
List of positive integer factors of 4813 that divides 4813 without a remainder.
1, 4813
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4808 and 4813, than apply into the LCM equation.
GCF(4808,4813) = 1
LCM(4808,4813) = ( 4808 × 4813) / 1
LCM(4808,4813) = 23140904 / 1
LCM(4808,4813) = 23140904
(i) The LCM of 4813 and 4808 is associative
LCM of 4808 and 4813 = LCM of 4813 and 4808
1. What is the LCM of 4808 and 4813?
Answer: LCM of 4808 and 4813 is 23140904.
2. What are the Factors of 4808?
Answer: Factors of 4808 are 1, 2, 4, 8, 601, 1202, 2404, 4808. There are 8 integers that are factors of 4808. The greatest factor of 4808 is 4808.
3. What are the Factors of 4813?
Answer: Factors of 4813 are 1, 4813. There are 2 integers that are factors of 4813. The greatest factor of 4813 is 4813.
4. How to Find the LCM of 4808 and 4813?
Answer:
Least Common Multiple of 4808 and 4813 = 23140904
Step 1: Find the prime factorization of 4808
4808 = 2 x 2 x 2 x 601
Step 2: Find the prime factorization of 4813
4813 = 4813
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23140904 = 2 x 2 x 2 x 601 x 4813
Step 4: Therefore, the least common multiple of 4808 and 4813 is 23140904.