Least Common Multiple of 7739 and 7745
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7739 and 7745 the smallest integer that is 59938555 that is divisible by both numbers.
Least Common Multiple (LCM) of 7739 and 7745 is 59938555.
LCM(7739,7745) = 59938555
LCM of 7739 and 7745
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7739 and 7745 by Prime method
- Least Common Multiple of 7739 and 7745 with GCF Formula
LCM of 7739 and 7745 is 59938555
Least common multiple can be found by multiplying the highest exponent prime factors of 7739 and 7745. First we will calculate the prime factors of 7739 and 7745.
Prime Factorization of 7739
| 71 | 7739 |
| 109 | 109 |
| 1 |
Prime factors of 7739 are 71,109. Prime factorization of 7739 in exponential form is:
7739 = 711×1091
Prime Factorization of 7745
| 5 | 7745 |
| 1549 | 1549 |
| 1 |
Prime factors of 7745 are 5,1549. Prime factorization of 7745 in exponential form is:
7745 = 51×15491
Now multiplying the highest exponent prime factors to calculate the LCM of 7739 and 7745.
LCM(7739,7745) = 51×711×1091×15491
LCM(7739,7745) = 59938555
Factors of 7739
List of positive integer factors of 7739 that divides 7739 without a remainder.
1, 71, 109, 7739
Factors of 7745
List of positive integer factors of 7745 that divides 7745 without a remainder.
1, 5, 1549, 7745
Least Common Multiple of 7739 and 7745 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7739 and 7745, than apply into the LCM equation.
GCF(7739,7745) = 1
LCM(7739,7745) = ( 7739 × 7745) / 1
LCM(7739,7745) = 59938555 / 1
LCM(7739,7745) = 59938555
Properties of LCM 7739 and 7745
(i) The LCM of 7745 and 7739 is associative
LCM of 7739 and 7745 = LCM of 7745 and 7739
Related Least Common Multiples of 7739
Related Least Common Multiples of 7745
Frequently Asked Questions on LCM of 7739 and 7745
1. What is the LCM of 7739 and 7745?
Answer: LCM of 7739 and 7745 is 59938555.
2. What are the Factors of 7739?
Answer: Factors of 7739 are 1, 71, 109, 7739. There are 4 integers that are factors of 7739. The greatest factor of 7739 is 7739.
3. What are the Factors of 7745?
Answer: Factors of 7745 are 1, 5, 1549, 7745. There are 4 integers that are factors of 7745. The greatest factor of 7745 is 7745.
4. How to Find the LCM of 7739 and 7745?
Answer:
Least Common Multiple of 7739 and 7745 = 59938555
Step 1: Find the prime factorization of 7739
7739 = 71 x 109
Step 2: Find the prime factorization of 7745
7745 = 5 x 1549
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59938555 = 5 x 71 x 109 x 1549
Step 4: Therefore, the least common multiple of 7739 and 7745 is 59938555.