Least Common Multiple of 4739 and 4746
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4739 and 4746 the smallest integer that is 3213042 that is divisible by both numbers.
Least Common Multiple (LCM) of 4739 and 4746 is 3213042.
LCM(4739,4746) = 3213042
LCM of 4739 and 4746
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4739 and 4746 by Prime method
- Least Common Multiple of 4739 and 4746 with GCF Formula
LCM of 4739 and 4746 is 3213042
Least common multiple can be found by multiplying the highest exponent prime factors of 4739 and 4746. First we will calculate the prime factors of 4739 and 4746.
Prime Factorization of 4739
| 7 | 4739 |
| 677 | 677 |
| 1 |
Prime factors of 4739 are 7,677. Prime factorization of 4739 in exponential form is:
4739 = 71×6771
Prime Factorization of 4746
| 2 | 4746 |
| 3 | 2373 |
| 7 | 791 |
| 113 | 113 |
| 1 |
Prime factors of 4746 are 2, 3, 7,113. Prime factorization of 4746 in exponential form is:
4746 = 21×31×71×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 4739 and 4746.
LCM(4739,4746) = 21×31×71×1131×6771
LCM(4739,4746) = 3213042
Factors of 4739
List of positive integer factors of 4739 that divides 4739 without a remainder.
1, 7, 677, 4739
Factors of 4746
List of positive integer factors of 4746 that divides 4746 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 113, 226, 339, 678, 791, 1582, 2373, 4746
Least Common Multiple of 4739 and 4746 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4739 and 4746, than apply into the LCM equation.
GCF(4739,4746) = 7
LCM(4739,4746) = ( 4739 × 4746) / 7
LCM(4739,4746) = 22491294 / 7
LCM(4739,4746) = 3213042
Properties of LCM 4739 and 4746
(i) The LCM of 4746 and 4739 is associative
LCM of 4739 and 4746 = LCM of 4746 and 4739
Related Least Common Multiples of 4739
Related Least Common Multiples of 4746
Frequently Asked Questions on LCM of 4739 and 4746
1. What is the LCM of 4739 and 4746?
Answer: LCM of 4739 and 4746 is 3213042.
2. What are the Factors of 4739?
Answer: Factors of 4739 are 1, 7, 677, 4739. There are 4 integers that are factors of 4739. The greatest factor of 4739 is 4739.
3. What are the Factors of 4746?
Answer: Factors of 4746 are 1, 2, 3, 6, 7, 14, 21, 42, 113, 226, 339, 678, 791, 1582, 2373, 4746. There are 16 integers that are factors of 4746. The greatest factor of 4746 is 4746.
4. How to Find the LCM of 4739 and 4746?
Answer:
Least Common Multiple of 4739 and 4746 = 3213042
Step 1: Find the prime factorization of 4739
4739 = 7 x 677
Step 2: Find the prime factorization of 4746
4746 = 2 x 3 x 7 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3213042 = 2 x 3 x 7 x 113 x 677
Step 4: Therefore, the least common multiple of 4739 and 4746 is 3213042.