Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2669 and 2674 the smallest integer that is 7136906 that is divisible by both numbers.
Least Common Multiple (LCM) of 2669 and 2674 is 7136906.
LCM(2669,2674) = 7136906
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2669 and 2674. First we will calculate the prime factors of 2669 and 2674.
Prime Factorization of 2669
17 | 2669 |
157 | 157 |
1 |
Prime factors of 2669 are 17,157. Prime factorization of 2669 in exponential form is:
2669 = 171×1571
Prime Factorization of 2674
2 | 2674 |
7 | 1337 |
191 | 191 |
1 |
Prime factors of 2674 are 2, 7,191. Prime factorization of 2674 in exponential form is:
2674 = 21×71×1911
Now multiplying the highest exponent prime factors to calculate the LCM of 2669 and 2674.
LCM(2669,2674) = 21×71×171×1571×1911
LCM(2669,2674) = 7136906
Factors of 2669
List of positive integer factors of 2669 that divides 2669 without a remainder.
1, 17, 157, 2669
Factors of 2674
List of positive integer factors of 2674 that divides 2674 without a remainder.
1, 2, 7, 14, 191, 382, 1337, 2674
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2669 and 2674, than apply into the LCM equation.
GCF(2669,2674) = 1
LCM(2669,2674) = ( 2669 × 2674) / 1
LCM(2669,2674) = 7136906 / 1
LCM(2669,2674) = 7136906
(i) The LCM of 2674 and 2669 is associative
LCM of 2669 and 2674 = LCM of 2674 and 2669
1. What is the LCM of 2669 and 2674?
Answer: LCM of 2669 and 2674 is 7136906.
2. What are the Factors of 2669?
Answer: Factors of 2669 are 1, 17, 157, 2669. There are 4 integers that are factors of 2669. The greatest factor of 2669 is 2669.
3. What are the Factors of 2674?
Answer: Factors of 2674 are 1, 2, 7, 14, 191, 382, 1337, 2674. There are 8 integers that are factors of 2674. The greatest factor of 2674 is 2674.
4. How to Find the LCM of 2669 and 2674?
Answer:
Least Common Multiple of 2669 and 2674 = 7136906
Step 1: Find the prime factorization of 2669
2669 = 17 x 157
Step 2: Find the prime factorization of 2674
2674 = 2 x 7 x 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7136906 = 2 x 7 x 17 x 157 x 191
Step 4: Therefore, the least common multiple of 2669 and 2674 is 7136906.