Least Common Multiple of 973 and 978
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 973 and 978 the smallest integer that is 951594 that is divisible by both numbers.
Least Common Multiple (LCM) of 973 and 978 is 951594.
LCM(973,978) = 951594
LCM of 973 and 978
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 973 and 978 by Prime method
- Least Common Multiple of 973 and 978 with GCF Formula
LCM of 973 and 978 is 951594
Least common multiple can be found by multiplying the highest exponent prime factors of 973 and 978. First we will calculate the prime factors of 973 and 978.
Prime Factorization of 973
| 7 | 973 |
| 139 | 139 |
| 1 |
Prime factors of 973 are 7,139. Prime factorization of 973 in exponential form is:
973 = 71×1391
Prime Factorization of 978
| 2 | 978 |
| 3 | 489 |
| 163 | 163 |
| 1 |
Prime factors of 978 are 2, 3,163. Prime factorization of 978 in exponential form is:
978 = 21×31×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 973 and 978.
LCM(973,978) = 21×31×71×1391×1631
LCM(973,978) = 951594
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Least Common Multiple of 973 and 978 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 973 and 978, than apply into the LCM equation.
GCF(973,978) = 1
LCM(973,978) = ( 973 × 978) / 1
LCM(973,978) = 951594 / 1
LCM(973,978) = 951594
Properties of LCM 973 and 978
(i) The LCM of 978 and 973 is associative
LCM of 973 and 978 = LCM of 978 and 973
Related Least Common Multiples of 973
Related Least Common Multiples of 978
Frequently Asked Questions on LCM of 973 and 978
1. What is the LCM of 973 and 978?
Answer: LCM of 973 and 978 is 951594.
2. What are the Factors of 973?
Answer: Factors of 973 are 1, 7, 139, 973. There are 4 integers that are factors of 973. The greatest factor of 973 is 973.
3. What are the Factors of 978?
Answer: Factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978. There are 8 integers that are factors of 978. The greatest factor of 978 is 978.
4. How to Find the LCM of 973 and 978?
Answer:
Least Common Multiple of 973 and 978 = 951594
Step 1: Find the prime factorization of 973
973 = 7 x 139
Step 2: Find the prime factorization of 978
978 = 2 x 3 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 951594 = 2 x 3 x 7 x 139 x 163
Step 4: Therefore, the least common multiple of 973 and 978 is 951594.