Least Common Multiple of 75685 and 75690
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 75685 and 75690 the smallest integer that is 1145719530 that is divisible by both numbers.
Least Common Multiple (LCM) of 75685 and 75690 is 1145719530.
LCM(75685,75690) = 1145719530
LCM of 75685 and 75690
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 75685 and 75690 by Prime method
- Least Common Multiple of 75685 and 75690 with GCF Formula
LCM of 75685 and 75690 is 1145719530
Least common multiple can be found by multiplying the highest exponent prime factors of 75685 and 75690. First we will calculate the prime factors of 75685 and 75690.
Prime Factorization of 75685
| 5 | 75685 |
| 15137 | 15137 |
| 1 |
Prime factors of 75685 are 5,15137. Prime factorization of 75685 in exponential form is:
75685 = 51×151371
Prime Factorization of 75690
| 2 | 75690 |
| 3 | 37845 |
| 3 | 12615 |
| 5 | 4205 |
| 29 | 841 |
| 29 | 29 |
| 1 |
Prime factors of 75690 are 2, 3, 5,29. Prime factorization of 75690 in exponential form is:
75690 = 21×32×51×292
Now multiplying the highest exponent prime factors to calculate the LCM of 75685 and 75690.
LCM(75685,75690) = 21×32×51×292×151371
LCM(75685,75690) = 1145719530
Factors of 75685
List of positive integer factors of 75685 that divides 75685 without a remainder.
1, 5, 15137, 75685
Factors of 75690
List of positive integer factors of 75690 that divides 75690 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 841, 870, 1305, 1682, 2523, 2610, 4205, 5046, 7569, 8410, 12615, 15138, 25230, 37845, 75690
Least Common Multiple of 75685 and 75690 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75685 and 75690, than apply into the LCM equation.
GCF(75685,75690) = 5
LCM(75685,75690) = ( 75685 × 75690) / 5
LCM(75685,75690) = 5728597650 / 5
LCM(75685,75690) = 1145719530
Properties of LCM 75685 and 75690
(i) The LCM of 75690 and 75685 is associative
LCM of 75685 and 75690 = LCM of 75690 and 75685
Related Least Common Multiples of 75685
Related Least Common Multiples of 75690
Frequently Asked Questions on LCM of 75685 and 75690
1. What is the LCM of 75685 and 75690?
Answer: LCM of 75685 and 75690 is 1145719530.
2. What are the Factors of 75685?
Answer: Factors of 75685 are 1, 5, 15137, 75685. There are 4 integers that are factors of 75685. The greatest factor of 75685 is 75685.
3. What are the Factors of 75690?
Answer: Factors of 75690 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 841, 870, 1305, 1682, 2523, 2610, 4205, 5046, 7569, 8410, 12615, 15138, 25230, 37845, 75690. There are 36 integers that are factors of 75690. The greatest factor of 75690 is 75690.
4. How to Find the LCM of 75685 and 75690?
Answer:
Least Common Multiple of 75685 and 75690 = 1145719530
Step 1: Find the prime factorization of 75685
75685 = 5 x 15137
Step 2: Find the prime factorization of 75690
75690 = 2 x 3 x 3 x 5 x 29 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1145719530 = 2 x 3 x 3 x 5 x 29 x 29 x 15137
Step 4: Therefore, the least common multiple of 75685 and 75690 is 1145719530.