Least Common Multiple of 7474 and 7479
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7474 and 7479 the smallest integer that is 55898046 that is divisible by both numbers.
Least Common Multiple (LCM) of 7474 and 7479 is 55898046.
LCM(7474,7479) = 55898046
LCM of 7474 and 7479
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7474 and 7479 by Prime method
- Least Common Multiple of 7474 and 7479 with GCF Formula
LCM of 7474 and 7479 is 55898046
Least common multiple can be found by multiplying the highest exponent prime factors of 7474 and 7479. First we will calculate the prime factors of 7474 and 7479.
Prime Factorization of 7474
| 2 | 7474 |
| 37 | 3737 |
| 101 | 101 |
| 1 |
Prime factors of 7474 are 2, 37,101. Prime factorization of 7474 in exponential form is:
7474 = 21×371×1011
Prime Factorization of 7479
| 3 | 7479 |
| 3 | 2493 |
| 3 | 831 |
| 277 | 277 |
| 1 |
Prime factors of 7479 are 3,277. Prime factorization of 7479 in exponential form is:
7479 = 33×2771
Now multiplying the highest exponent prime factors to calculate the LCM of 7474 and 7479.
LCM(7474,7479) = 21×33×371×1011×2771
LCM(7474,7479) = 55898046
Factors of 7474
List of positive integer factors of 7474 that divides 7474 without a remainder.
1, 2, 37, 74, 101, 202, 3737, 7474
Factors of 7479
List of positive integer factors of 7479 that divides 7479 without a remainder.
1, 3, 9, 27, 277, 831, 2493, 7479
Least Common Multiple of 7474 and 7479 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7474 and 7479, than apply into the LCM equation.
GCF(7474,7479) = 1
LCM(7474,7479) = ( 7474 × 7479) / 1
LCM(7474,7479) = 55898046 / 1
LCM(7474,7479) = 55898046
Properties of LCM 7474 and 7479
(i) The LCM of 7479 and 7474 is associative
LCM of 7474 and 7479 = LCM of 7479 and 7474
Related Least Common Multiples of 7474
Related Least Common Multiples of 7479
Frequently Asked Questions on LCM of 7474 and 7479
1. What is the LCM of 7474 and 7479?
Answer: LCM of 7474 and 7479 is 55898046.
2. What are the Factors of 7474?
Answer: Factors of 7474 are 1, 2, 37, 74, 101, 202, 3737, 7474. There are 8 integers that are factors of 7474. The greatest factor of 7474 is 7474.
3. What are the Factors of 7479?
Answer: Factors of 7479 are 1, 3, 9, 27, 277, 831, 2493, 7479. There are 8 integers that are factors of 7479. The greatest factor of 7479 is 7479.
4. How to Find the LCM of 7474 and 7479?
Answer:
Least Common Multiple of 7474 and 7479 = 55898046
Step 1: Find the prime factorization of 7474
7474 = 2 x 37 x 101
Step 2: Find the prime factorization of 7479
7479 = 3 x 3 x 3 x 277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 55898046 = 2 x 3 x 3 x 3 x 37 x 101 x 277
Step 4: Therefore, the least common multiple of 7474 and 7479 is 55898046.