Least Common Multiple of 1974 and 1979
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1974 and 1979 the smallest integer that is 3906546 that is divisible by both numbers.
Least Common Multiple (LCM) of 1974 and 1979 is 3906546.
LCM(1974,1979) = 3906546
LCM of 1974 and 1979
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1974 and 1979 by Prime method
- Least Common Multiple of 1974 and 1979 with GCF Formula
LCM of 1974 and 1979 is 3906546
Least common multiple can be found by multiplying the highest exponent prime factors of 1974 and 1979. First we will calculate the prime factors of 1974 and 1979.
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
Prime Factorization of 1979
| 1979 | 1979 |
| 1 |
Prime factors of 1979 are 1979. Prime factorization of 1979 in exponential form is:
1979 = 19791
Now multiplying the highest exponent prime factors to calculate the LCM of 1974 and 1979.
LCM(1974,1979) = 21×31×71×471×19791
LCM(1974,1979) = 3906546
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
Factors of 1979
List of positive integer factors of 1979 that divides 1979 without a remainder.
1, 1979
Least Common Multiple of 1974 and 1979 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1974 and 1979, than apply into the LCM equation.
GCF(1974,1979) = 1
LCM(1974,1979) = ( 1974 × 1979) / 1
LCM(1974,1979) = 3906546 / 1
LCM(1974,1979) = 3906546
Properties of LCM 1974 and 1979
(i) The LCM of 1979 and 1974 is associative
LCM of 1974 and 1979 = LCM of 1979 and 1974
Related Least Common Multiples of 1974
Related Least Common Multiples of 1979
Frequently Asked Questions on LCM of 1974 and 1979
1. What is the LCM of 1974 and 1979?
Answer: LCM of 1974 and 1979 is 3906546.
2. 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.
3. What are the Factors of 1979?
Answer: Factors of 1979 are 1, 1979. There are 2 integers that are factors of 1979. The greatest factor of 1979 is 1979.
4. How to Find the LCM of 1974 and 1979?
Answer:
Least Common Multiple of 1974 and 1979 = 3906546
Step 1: Find the prime factorization of 1974
1974 = 2 x 3 x 7 x 47
Step 2: Find the prime factorization of 1979
1979 = 1979
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3906546 = 2 x 3 x 7 x 47 x 1979
Step 4: Therefore, the least common multiple of 1974 and 1979 is 3906546.