Least Common Multiple of 2945 and 2953
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2945 and 2953 the smallest integer that is 8696585 that is divisible by both numbers.
Least Common Multiple (LCM) of 2945 and 2953 is 8696585.
LCM(2945,2953) = 8696585
LCM of 2945 and 2953
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2945 and 2953 by Prime method
- Least Common Multiple of 2945 and 2953 with GCF Formula
LCM of 2945 and 2953 is 8696585
Least common multiple can be found by multiplying the highest exponent prime factors of 2945 and 2953. First we will calculate the prime factors of 2945 and 2953.
Prime Factorization of 2945
| 5 | 2945 |
| 19 | 589 |
| 31 | 31 |
| 1 |
Prime factors of 2945 are 5, 19,31. Prime factorization of 2945 in exponential form is:
2945 = 51×191×311
Prime Factorization of 2953
| 2953 | 2953 |
| 1 |
Prime factors of 2953 are 2953. Prime factorization of 2953 in exponential form is:
2953 = 29531
Now multiplying the highest exponent prime factors to calculate the LCM of 2945 and 2953.
LCM(2945,2953) = 51×191×311×29531
LCM(2945,2953) = 8696585
Factors of 2945
List of positive integer factors of 2945 that divides 2945 without a remainder.
1, 5, 19, 31, 95, 155, 589, 2945
Factors of 2953
List of positive integer factors of 2953 that divides 2953 without a remainder.
1, 2953
Least Common Multiple of 2945 and 2953 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2945 and 2953, than apply into the LCM equation.
GCF(2945,2953) = 1
LCM(2945,2953) = ( 2945 × 2953) / 1
LCM(2945,2953) = 8696585 / 1
LCM(2945,2953) = 8696585
Properties of LCM 2945 and 2953
(i) The LCM of 2953 and 2945 is associative
LCM of 2945 and 2953 = LCM of 2953 and 2945
Related Least Common Multiples of 2945
Related Least Common Multiples of 2953
Frequently Asked Questions on LCM of 2945 and 2953
1. What is the LCM of 2945 and 2953?
Answer: LCM of 2945 and 2953 is 8696585.
2. What are the Factors of 2945?
Answer: Factors of 2945 are 1, 5, 19, 31, 95, 155, 589, 2945. There are 8 integers that are factors of 2945. The greatest factor of 2945 is 2945.
3. What are the Factors of 2953?
Answer: Factors of 2953 are 1, 2953. There are 2 integers that are factors of 2953. The greatest factor of 2953 is 2953.
4. How to Find the LCM of 2945 and 2953?
Answer:
Least Common Multiple of 2945 and 2953 = 8696585
Step 1: Find the prime factorization of 2945
2945 = 5 x 19 x 31
Step 2: Find the prime factorization of 2953
2953 = 2953
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8696585 = 5 x 19 x 31 x 2953
Step 4: Therefore, the least common multiple of 2945 and 2953 is 8696585.