Least Common Multiple of 2937 and 2945
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2937 and 2945 the smallest integer that is 8649465 that is divisible by both numbers.
Least Common Multiple (LCM) of 2937 and 2945 is 8649465.
LCM(2937,2945) = 8649465
LCM of 2937 and 2945
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2937 and 2945 by Prime method
- Least Common Multiple of 2937 and 2945 with GCF Formula
LCM of 2937 and 2945 is 8649465
Least common multiple can be found by multiplying the highest exponent prime factors of 2937 and 2945. First we will calculate the prime factors of 2937 and 2945.
Prime Factorization of 2937
| 3 | 2937 |
| 11 | 979 |
| 89 | 89 |
| 1 |
Prime factors of 2937 are 3, 11,89. Prime factorization of 2937 in exponential form is:
2937 = 31×111×891
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2937 and 2945.
LCM(2937,2945) = 31×51×111×191×311×891
LCM(2937,2945) = 8649465
Factors of 2937
List of positive integer factors of 2937 that divides 2937 without a remainder.
1, 3, 11, 33, 89, 267, 979, 2937
Factors of 2945
List of positive integer factors of 2945 that divides 2945 without a remainder.
1, 5, 19, 31, 95, 155, 589, 2945
Least Common Multiple of 2937 and 2945 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2937 and 2945, than apply into the LCM equation.
GCF(2937,2945) = 1
LCM(2937,2945) = ( 2937 × 2945) / 1
LCM(2937,2945) = 8649465 / 1
LCM(2937,2945) = 8649465
Properties of LCM 2937 and 2945
(i) The LCM of 2945 and 2937 is associative
LCM of 2937 and 2945 = LCM of 2945 and 2937
Related Least Common Multiples of 2937
Related Least Common Multiples of 2945
Frequently Asked Questions on LCM of 2937 and 2945
1. What is the LCM of 2937 and 2945?
Answer: LCM of 2937 and 2945 is 8649465.
2. What are the Factors of 2937?
Answer: Factors of 2937 are 1, 3, 11, 33, 89, 267, 979, 2937. There are 8 integers that are factors of 2937. The greatest factor of 2937 is 2937.
3. 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.
4. How to Find the LCM of 2937 and 2945?
Answer:
Least Common Multiple of 2937 and 2945 = 8649465
Step 1: Find the prime factorization of 2937
2937 = 3 x 11 x 89
Step 2: Find the prime factorization of 2945
2945 = 5 x 19 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8649465 = 3 x 5 x 11 x 19 x 31 x 89
Step 4: Therefore, the least common multiple of 2937 and 2945 is 8649465.