Least Common Multiple of 1966 and 1973
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1966 and 1973 the smallest integer that is 3878918 that is divisible by both numbers.
Least Common Multiple (LCM) of 1966 and 1973 is 3878918.
LCM(1966,1973) = 3878918
LCM of 1966 and 1973
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1966 and 1973 by Prime method
- Least Common Multiple of 1966 and 1973 with GCF Formula
LCM of 1966 and 1973 is 3878918
Least common multiple can be found by multiplying the highest exponent prime factors of 1966 and 1973. First we will calculate the prime factors of 1966 and 1973.
Prime Factorization of 1966
| 2 | 1966 |
| 983 | 983 |
| 1 |
Prime factors of 1966 are 2,983. Prime factorization of 1966 in exponential form is:
1966 = 21×9831
Prime Factorization of 1973
| 1973 | 1973 |
| 1 |
Prime factors of 1973 are 1973. Prime factorization of 1973 in exponential form is:
1973 = 19731
Now multiplying the highest exponent prime factors to calculate the LCM of 1966 and 1973.
LCM(1966,1973) = 21×9831×19731
LCM(1966,1973) = 3878918
Factors of 1966
List of positive integer factors of 1966 that divides 1966 without a remainder.
1, 2, 983, 1966
Factors of 1973
List of positive integer factors of 1973 that divides 1973 without a remainder.
1, 1973
Least Common Multiple of 1966 and 1973 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1966 and 1973, than apply into the LCM equation.
GCF(1966,1973) = 1
LCM(1966,1973) = ( 1966 × 1973) / 1
LCM(1966,1973) = 3878918 / 1
LCM(1966,1973) = 3878918
Properties of LCM 1966 and 1973
(i) The LCM of 1973 and 1966 is associative
LCM of 1966 and 1973 = LCM of 1973 and 1966
Related Least Common Multiples of 1966
Related Least Common Multiples of 1973
Frequently Asked Questions on LCM of 1966 and 1973
1. What is the LCM of 1966 and 1973?
Answer: LCM of 1966 and 1973 is 3878918.
2. What are the Factors of 1966?
Answer: Factors of 1966 are 1, 2, 983, 1966. There are 4 integers that are factors of 1966. The greatest factor of 1966 is 1966.
3. What are the Factors of 1973?
Answer: Factors of 1973 are 1, 1973. There are 2 integers that are factors of 1973. The greatest factor of 1973 is 1973.
4. How to Find the LCM of 1966 and 1973?
Answer:
Least Common Multiple of 1966 and 1973 = 3878918
Step 1: Find the prime factorization of 1966
1966 = 2 x 983
Step 2: Find the prime factorization of 1973
1973 = 1973
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3878918 = 2 x 983 x 1973
Step 4: Therefore, the least common multiple of 1966 and 1973 is 3878918.