Least Common Multiple of 2929 and 2937
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2929 and 2937 the smallest integer that is 8602473 that is divisible by both numbers.
Least Common Multiple (LCM) of 2929 and 2937 is 8602473.
LCM(2929,2937) = 8602473
LCM of 2929 and 2937
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2929 and 2937 by Prime method
- Least Common Multiple of 2929 and 2937 with GCF Formula
LCM of 2929 and 2937 is 8602473
Least common multiple can be found by multiplying the highest exponent prime factors of 2929 and 2937. First we will calculate the prime factors of 2929 and 2937.
Prime Factorization of 2929
| 29 | 2929 |
| 101 | 101 |
| 1 |
Prime factors of 2929 are 29,101. Prime factorization of 2929 in exponential form is:
2929 = 291×1011
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2929 and 2937.
LCM(2929,2937) = 31×111×291×891×1011
LCM(2929,2937) = 8602473
Factors of 2929
List of positive integer factors of 2929 that divides 2929 without a remainder.
1, 29, 101, 2929
Factors of 2937
List of positive integer factors of 2937 that divides 2937 without a remainder.
1, 3, 11, 33, 89, 267, 979, 2937
Least Common Multiple of 2929 and 2937 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2929 and 2937, than apply into the LCM equation.
GCF(2929,2937) = 1
LCM(2929,2937) = ( 2929 × 2937) / 1
LCM(2929,2937) = 8602473 / 1
LCM(2929,2937) = 8602473
Properties of LCM 2929 and 2937
(i) The LCM of 2937 and 2929 is associative
LCM of 2929 and 2937 = LCM of 2937 and 2929
Related Least Common Multiples of 2929
Related Least Common Multiples of 2937
Frequently Asked Questions on LCM of 2929 and 2937
1. What is the LCM of 2929 and 2937?
Answer: LCM of 2929 and 2937 is 8602473.
2. What are the Factors of 2929?
Answer: Factors of 2929 are 1, 29, 101, 2929. There are 4 integers that are factors of 2929. The greatest factor of 2929 is 2929.
3. 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.
4. How to Find the LCM of 2929 and 2937?
Answer:
Least Common Multiple of 2929 and 2937 = 8602473
Step 1: Find the prime factorization of 2929
2929 = 29 x 101
Step 2: Find the prime factorization of 2937
2937 = 3 x 11 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8602473 = 3 x 11 x 29 x 89 x 101
Step 4: Therefore, the least common multiple of 2929 and 2937 is 8602473.