Least Common Multiple of 69 and 74
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 69 and 74 the smallest integer that is 5106 that is divisible by both numbers.
Least Common Multiple (LCM) of 69 and 74 is 5106.
LCM(69,74) = 5106
LCM of 69 and 74
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 69 and 74 by Prime method
- Least Common Multiple of 69 and 74 with GCF Formula
LCM of 69 and 74 is 5106
Least common multiple can be found by multiplying the highest exponent prime factors of 69 and 74. First we will calculate the prime factors of 69 and 74.
Prime Factorization of 69
| 3 | 69 |
| 23 | 23 |
| 1 |
Prime factors of 69 are 3,23. Prime factorization of 69 in exponential form is:
69 = 31×231
Prime Factorization of 74
| 2 | 74 |
| 37 | 37 |
| 1 |
Prime factors of 74 are 2,37. Prime factorization of 74 in exponential form is:
74 = 21×371
Now multiplying the highest exponent prime factors to calculate the LCM of 69 and 74.
LCM(69,74) = 21×31×231×371
LCM(69,74) = 5106
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Least Common Multiple of 69 and 74 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69 and 74, than apply into the LCM equation.
GCF(69,74) = 1
LCM(69,74) = ( 69 × 74) / 1
LCM(69,74) = 5106 / 1
LCM(69,74) = 5106
Properties of LCM 69 and 74
(i) The LCM of 74 and 69 is associative
LCM of 69 and 74 = LCM of 74 and 69
Related Least Common Multiples of 69
Related Least Common Multiples of 74
Frequently Asked Questions on LCM of 69 and 74
1. What is the LCM of 69 and 74?
Answer: LCM of 69 and 74 is 5106.
2. What are the Factors of 69?
Answer: Factors of 69 are 1, 3, 23, 69. There are 4 integers that are factors of 69. The greatest factor of 69 is 69.
3. What are the Factors of 74?
Answer: Factors of 74 are 1, 2, 37, 74. There are 4 integers that are factors of 74. The greatest factor of 74 is 74.
4. How to Find the LCM of 69 and 74?
Answer:
Least Common Multiple of 69 and 74 = 5106
Step 1: Find the prime factorization of 69
69 = 3 x 23
Step 2: Find the prime factorization of 74
74 = 2 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5106 = 2 x 3 x 23 x 37
Step 4: Therefore, the least common multiple of 69 and 74 is 5106.