Least Common Multiple of 3090 and 3097
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3090 and 3097 the smallest integer that is 9569730 that is divisible by both numbers.
Least Common Multiple (LCM) of 3090 and 3097 is 9569730.
LCM(3090,3097) = 9569730
LCM of 3090 and 3097
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3090 and 3097 by Prime method
- Least Common Multiple of 3090 and 3097 with GCF Formula
LCM of 3090 and 3097 is 9569730
Least common multiple can be found by multiplying the highest exponent prime factors of 3090 and 3097. First we will calculate the prime factors of 3090 and 3097.
Prime Factorization of 3090
| 2 | 3090 |
| 3 | 1545 |
| 5 | 515 |
| 103 | 103 |
| 1 |
Prime factors of 3090 are 2, 3, 5,103. Prime factorization of 3090 in exponential form is:
3090 = 21×31×51×1031
Prime Factorization of 3097
| 19 | 3097 |
| 163 | 163 |
| 1 |
Prime factors of 3097 are 19,163. Prime factorization of 3097 in exponential form is:
3097 = 191×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 3090 and 3097.
LCM(3090,3097) = 21×31×51×191×1031×1631
LCM(3090,3097) = 9569730
Factors of 3090
List of positive integer factors of 3090 that divides 3090 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545, 3090
Factors of 3097
List of positive integer factors of 3097 that divides 3097 without a remainder.
1, 19, 163, 3097
Least Common Multiple of 3090 and 3097 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3090 and 3097, than apply into the LCM equation.
GCF(3090,3097) = 1
LCM(3090,3097) = ( 3090 × 3097) / 1
LCM(3090,3097) = 9569730 / 1
LCM(3090,3097) = 9569730
Properties of LCM 3090 and 3097
(i) The LCM of 3097 and 3090 is associative
LCM of 3090 and 3097 = LCM of 3097 and 3090
Related Least Common Multiples of 3090
Related Least Common Multiples of 3097
Frequently Asked Questions on LCM of 3090 and 3097
1. What is the LCM of 3090 and 3097?
Answer: LCM of 3090 and 3097 is 9569730.
2. What are the Factors of 3090?
Answer: Factors of 3090 are 1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545, 3090. There are 16 integers that are factors of 3090. The greatest factor of 3090 is 3090.
3. What are the Factors of 3097?
Answer: Factors of 3097 are 1, 19, 163, 3097. There are 4 integers that are factors of 3097. The greatest factor of 3097 is 3097.
4. How to Find the LCM of 3090 and 3097?
Answer:
Least Common Multiple of 3090 and 3097 = 9569730
Step 1: Find the prime factorization of 3090
3090 = 2 x 3 x 5 x 103
Step 2: Find the prime factorization of 3097
3097 = 19 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9569730 = 2 x 3 x 5 x 19 x 103 x 163
Step 4: Therefore, the least common multiple of 3090 and 3097 is 9569730.