Least Common Multiple of 1969 and 1974
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1969 and 1974 the smallest integer that is 3886806 that is divisible by both numbers.
Least Common Multiple (LCM) of 1969 and 1974 is 3886806.
LCM(1969,1974) = 3886806
LCM of 1969 and 1974
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1969 and 1974 by Prime method
- Least Common Multiple of 1969 and 1974 with GCF Formula
LCM of 1969 and 1974 is 3886806
Least common multiple can be found by multiplying the highest exponent prime factors of 1969 and 1974. First we will calculate the prime factors of 1969 and 1974.
Prime Factorization of 1969
| 11 | 1969 |
| 179 | 179 |
| 1 |
Prime factors of 1969 are 11,179. Prime factorization of 1969 in exponential form is:
1969 = 111×1791
Prime Factorization of 1974
| 2 | 1974 |
| 3 | 987 |
| 7 | 329 |
| 47 | 47 |
| 1 |
Prime factors of 1974 are 2, 3, 7,47. Prime factorization of 1974 in exponential form is:
1974 = 21×31×71×471
Now multiplying the highest exponent prime factors to calculate the LCM of 1969 and 1974.
LCM(1969,1974) = 21×31×71×111×471×1791
LCM(1969,1974) = 3886806
Factors of 1969
List of positive integer factors of 1969 that divides 1969 without a remainder.
1, 11, 179, 1969
Factors of 1974
List of positive integer factors of 1974 that divides 1974 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 47, 94, 141, 282, 329, 658, 987, 1974
Least Common Multiple of 1969 and 1974 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1969 and 1974, than apply into the LCM equation.
GCF(1969,1974) = 1
LCM(1969,1974) = ( 1969 × 1974) / 1
LCM(1969,1974) = 3886806 / 1
LCM(1969,1974) = 3886806
Properties of LCM 1969 and 1974
(i) The LCM of 1974 and 1969 is associative
LCM of 1969 and 1974 = LCM of 1974 and 1969
Related Least Common Multiples of 1969
Related Least Common Multiples of 1974
Frequently Asked Questions on LCM of 1969 and 1974
1. What is the LCM of 1969 and 1974?
Answer: LCM of 1969 and 1974 is 3886806.
2. What are the Factors of 1969?
Answer: Factors of 1969 are 1, 11, 179, 1969. There are 4 integers that are factors of 1969. The greatest factor of 1969 is 1969.
3. What are the Factors of 1974?
Answer: Factors of 1974 are 1, 2, 3, 6, 7, 14, 21, 42, 47, 94, 141, 282, 329, 658, 987, 1974. There are 16 integers that are factors of 1974. The greatest factor of 1974 is 1974.
4. How to Find the LCM of 1969 and 1974?
Answer:
Least Common Multiple of 1969 and 1974 = 3886806
Step 1: Find the prime factorization of 1969
1969 = 11 x 179
Step 2: Find the prime factorization of 1974
1974 = 2 x 3 x 7 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3886806 = 2 x 3 x 7 x 11 x 47 x 179
Step 4: Therefore, the least common multiple of 1969 and 1974 is 3886806.