Least Common Multiple of 1961 and 1967
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1961 and 1967 the smallest integer that is 3857287 that is divisible by both numbers.
Least Common Multiple (LCM) of 1961 and 1967 is 3857287.
LCM(1961,1967) = 3857287
LCM of 1961 and 1967
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1961 and 1967 by Prime method
- Least Common Multiple of 1961 and 1967 with GCF Formula
LCM of 1961 and 1967 is 3857287
Least common multiple can be found by multiplying the highest exponent prime factors of 1961 and 1967. First we will calculate the prime factors of 1961 and 1967.
Prime Factorization of 1961
| 37 | 1961 |
| 53 | 53 |
| 1 |
Prime factors of 1961 are 37,53. Prime factorization of 1961 in exponential form is:
1961 = 371×531
Prime Factorization of 1967
| 7 | 1967 |
| 281 | 281 |
| 1 |
Prime factors of 1967 are 7,281. Prime factorization of 1967 in exponential form is:
1967 = 71×2811
Now multiplying the highest exponent prime factors to calculate the LCM of 1961 and 1967.
LCM(1961,1967) = 71×371×531×2811
LCM(1961,1967) = 3857287
Factors of 1961
List of positive integer factors of 1961 that divides 1961 without a remainder.
1, 37, 53, 1961
Factors of 1967
List of positive integer factors of 1967 that divides 1967 without a remainder.
1, 7, 281, 1967
Least Common Multiple of 1961 and 1967 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1961 and 1967, than apply into the LCM equation.
GCF(1961,1967) = 1
LCM(1961,1967) = ( 1961 × 1967) / 1
LCM(1961,1967) = 3857287 / 1
LCM(1961,1967) = 3857287
Properties of LCM 1961 and 1967
(i) The LCM of 1967 and 1961 is associative
LCM of 1961 and 1967 = LCM of 1967 and 1961
Related Least Common Multiples of 1961
Related Least Common Multiples of 1967
Frequently Asked Questions on LCM of 1961 and 1967
1. What is the LCM of 1961 and 1967?
Answer: LCM of 1961 and 1967 is 3857287.
2. What are the Factors of 1961?
Answer: Factors of 1961 are 1, 37, 53, 1961. There are 4 integers that are factors of 1961. The greatest factor of 1961 is 1961.
3. What are the Factors of 1967?
Answer: Factors of 1967 are 1, 7, 281, 1967. There are 4 integers that are factors of 1967. The greatest factor of 1967 is 1967.
4. How to Find the LCM of 1961 and 1967?
Answer:
Least Common Multiple of 1961 and 1967 = 3857287
Step 1: Find the prime factorization of 1961
1961 = 37 x 53
Step 2: Find the prime factorization of 1967
1967 = 7 x 281
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3857287 = 7 x 37 x 53 x 281
Step 4: Therefore, the least common multiple of 1961 and 1967 is 3857287.