Least Common Multiple of 1973 and 1978
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1973 and 1978 the smallest integer that is 3902594 that is divisible by both numbers.
Least Common Multiple (LCM) of 1973 and 1978 is 3902594.
LCM(1973,1978) = 3902594
LCM of 1973 and 1978
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1973 and 1978 by Prime method
- Least Common Multiple of 1973 and 1978 with GCF Formula
LCM of 1973 and 1978 is 3902594
Least common multiple can be found by multiplying the highest exponent prime factors of 1973 and 1978. First we will calculate the prime factors of 1973 and 1978.
Prime Factorization of 1973
| 1973 | 1973 |
| 1 |
Prime factors of 1973 are 1973. Prime factorization of 1973 in exponential form is:
1973 = 19731
Prime Factorization of 1978
| 2 | 1978 |
| 23 | 989 |
| 43 | 43 |
| 1 |
Prime factors of 1978 are 2, 23,43. Prime factorization of 1978 in exponential form is:
1978 = 21×231×431
Now multiplying the highest exponent prime factors to calculate the LCM of 1973 and 1978.
LCM(1973,1978) = 21×231×431×19731
LCM(1973,1978) = 3902594
Factors of 1973
List of positive integer factors of 1973 that divides 1973 without a remainder.
1, 1973
Factors of 1978
List of positive integer factors of 1978 that divides 1978 without a remainder.
1, 2, 23, 43, 46, 86, 989, 1978
Least Common Multiple of 1973 and 1978 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1973 and 1978, than apply into the LCM equation.
GCF(1973,1978) = 1
LCM(1973,1978) = ( 1973 × 1978) / 1
LCM(1973,1978) = 3902594 / 1
LCM(1973,1978) = 3902594
Properties of LCM 1973 and 1978
(i) The LCM of 1978 and 1973 is associative
LCM of 1973 and 1978 = LCM of 1978 and 1973
Related Least Common Multiples of 1973
Related Least Common Multiples of 1978
Frequently Asked Questions on LCM of 1973 and 1978
1. What is the LCM of 1973 and 1978?
Answer: LCM of 1973 and 1978 is 3902594.
2. 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.
3. What are the Factors of 1978?
Answer: Factors of 1978 are 1, 2, 23, 43, 46, 86, 989, 1978. There are 8 integers that are factors of 1978. The greatest factor of 1978 is 1978.
4. How to Find the LCM of 1973 and 1978?
Answer:
Least Common Multiple of 1973 and 1978 = 3902594
Step 1: Find the prime factorization of 1973
1973 = 1973
Step 2: Find the prime factorization of 1978
1978 = 2 x 23 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3902594 = 2 x 23 x 43 x 1973
Step 4: Therefore, the least common multiple of 1973 and 1978 is 3902594.