Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5164 and 5169 the smallest integer that is 26692716 that is divisible by both numbers.
Least Common Multiple (LCM) of 5164 and 5169 is 26692716.
LCM(5164,5169) = 26692716
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 5164 and 5169. First we will calculate the prime factors of 5164 and 5169.
Prime Factorization of 5164
2 | 5164 |
2 | 2582 |
1291 | 1291 |
1 |
Prime factors of 5164 are 2,1291. Prime factorization of 5164 in exponential form is:
5164 = 22×12911
Prime Factorization of 5169
3 | 5169 |
1723 | 1723 |
1 |
Prime factors of 5169 are 3,1723. Prime factorization of 5169 in exponential form is:
5169 = 31×17231
Now multiplying the highest exponent prime factors to calculate the LCM of 5164 and 5169.
LCM(5164,5169) = 22×31×12911×17231
LCM(5164,5169) = 26692716
Factors of 5164
List of positive integer factors of 5164 that divides 5164 without a remainder.
1, 2, 4, 1291, 2582, 5164
Factors of 5169
List of positive integer factors of 5169 that divides 5169 without a remainder.
1, 3, 1723, 5169
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5164 and 5169, than apply into the LCM equation.
GCF(5164,5169) = 1
LCM(5164,5169) = ( 5164 × 5169) / 1
LCM(5164,5169) = 26692716 / 1
LCM(5164,5169) = 26692716
(i) The LCM of 5169 and 5164 is associative
LCM of 5164 and 5169 = LCM of 5169 and 5164
1. What is the LCM of 5164 and 5169?
Answer: LCM of 5164 and 5169 is 26692716.
2. What are the Factors of 5164?
Answer: Factors of 5164 are 1, 2, 4, 1291, 2582, 5164. There are 6 integers that are factors of 5164. The greatest factor of 5164 is 5164.
3. What are the Factors of 5169?
Answer: Factors of 5169 are 1, 3, 1723, 5169. There are 4 integers that are factors of 5169. The greatest factor of 5169 is 5169.
4. How to Find the LCM of 5164 and 5169?
Answer:
Least Common Multiple of 5164 and 5169 = 26692716
Step 1: Find the prime factorization of 5164
5164 = 2 x 2 x 1291
Step 2: Find the prime factorization of 5169
5169 = 3 x 1723
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26692716 = 2 x 2 x 3 x 1291 x 1723
Step 4: Therefore, the least common multiple of 5164 and 5169 is 26692716.