Least Common Multiple of 4932 and 4939
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4932 and 4939 the smallest integer that is 24359148 that is divisible by both numbers.
Least Common Multiple (LCM) of 4932 and 4939 is 24359148.
LCM(4932,4939) = 24359148
LCM of 4932 and 4939
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4932 and 4939 by Prime method
- Least Common Multiple of 4932 and 4939 with GCF Formula
LCM of 4932 and 4939 is 24359148
Least common multiple can be found by multiplying the highest exponent prime factors of 4932 and 4939. First we will calculate the prime factors of 4932 and 4939.
Prime Factorization of 4932
| 2 | 4932 |
| 2 | 2466 |
| 3 | 1233 |
| 3 | 411 |
| 137 | 137 |
| 1 |
Prime factors of 4932 are 2, 3,137. Prime factorization of 4932 in exponential form is:
4932 = 22×32×1371
Prime Factorization of 4939
| 11 | 4939 |
| 449 | 449 |
| 1 |
Prime factors of 4939 are 11,449. Prime factorization of 4939 in exponential form is:
4939 = 111×4491
Now multiplying the highest exponent prime factors to calculate the LCM of 4932 and 4939.
LCM(4932,4939) = 22×32×111×1371×4491
LCM(4932,4939) = 24359148
Factors of 4932
List of positive integer factors of 4932 that divides 4932 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466, 4932
Factors of 4939
List of positive integer factors of 4939 that divides 4939 without a remainder.
1, 11, 449, 4939
Least Common Multiple of 4932 and 4939 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4932 and 4939, than apply into the LCM equation.
GCF(4932,4939) = 1
LCM(4932,4939) = ( 4932 × 4939) / 1
LCM(4932,4939) = 24359148 / 1
LCM(4932,4939) = 24359148
Properties of LCM 4932 and 4939
(i) The LCM of 4939 and 4932 is associative
LCM of 4932 and 4939 = LCM of 4939 and 4932
Related Least Common Multiples of 4932
Related Least Common Multiples of 4939
Frequently Asked Questions on LCM of 4932 and 4939
1. What is the LCM of 4932 and 4939?
Answer: LCM of 4932 and 4939 is 24359148.
2. What are the Factors of 4932?
Answer: Factors of 4932 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466, 4932. There are 18 integers that are factors of 4932. The greatest factor of 4932 is 4932.
3. What are the Factors of 4939?
Answer: Factors of 4939 are 1, 11, 449, 4939. There are 4 integers that are factors of 4939. The greatest factor of 4939 is 4939.
4. How to Find the LCM of 4932 and 4939?
Answer:
Least Common Multiple of 4932 and 4939 = 24359148
Step 1: Find the prime factorization of 4932
4932 = 2 x 2 x 3 x 3 x 137
Step 2: Find the prime factorization of 4939
4939 = 11 x 449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24359148 = 2 x 2 x 3 x 3 x 11 x 137 x 449
Step 4: Therefore, the least common multiple of 4932 and 4939 is 24359148.