Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7430 and 7438 the smallest integer that is 27632170 that is divisible by both numbers.
Least Common Multiple (LCM) of 7430 and 7438 is 27632170.
LCM(7430,7438) = 27632170
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7430 and 7438. First we will calculate the prime factors of 7430 and 7438.
Prime Factorization of 7430
2 | 7430 |
5 | 3715 |
743 | 743 |
1 |
Prime factors of 7430 are 2, 5,743. Prime factorization of 7430 in exponential form is:
7430 = 21×51×7431
Prime Factorization of 7438
2 | 7438 |
3719 | 3719 |
1 |
Prime factors of 7438 are 2,3719. Prime factorization of 7438 in exponential form is:
7438 = 21×37191
Now multiplying the highest exponent prime factors to calculate the LCM of 7430 and 7438.
LCM(7430,7438) = 21×51×7431×37191
LCM(7430,7438) = 27632170
Factors of 7430
List of positive integer factors of 7430 that divides 7430 without a remainder.
1, 2, 5, 10, 743, 1486, 3715, 7430
Factors of 7438
List of positive integer factors of 7438 that divides 7438 without a remainder.
1, 2, 3719, 7438
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7430 and 7438, than apply into the LCM equation.
GCF(7430,7438) = 2
LCM(7430,7438) = ( 7430 × 7438) / 2
LCM(7430,7438) = 55264340 / 2
LCM(7430,7438) = 27632170
(i) The LCM of 7438 and 7430 is associative
LCM of 7430 and 7438 = LCM of 7438 and 7430
1. What is the LCM of 7430 and 7438?
Answer: LCM of 7430 and 7438 is 27632170.
2. What are the Factors of 7430?
Answer: Factors of 7430 are 1, 2, 5, 10, 743, 1486, 3715, 7430. There are 8 integers that are factors of 7430. The greatest factor of 7430 is 7430.
3. What are the Factors of 7438?
Answer: Factors of 7438 are 1, 2, 3719, 7438. There are 4 integers that are factors of 7438. The greatest factor of 7438 is 7438.
4. How to Find the LCM of 7430 and 7438?
Answer:
Least Common Multiple of 7430 and 7438 = 27632170
Step 1: Find the prime factorization of 7430
7430 = 2 x 5 x 743
Step 2: Find the prime factorization of 7438
7438 = 2 x 3719
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27632170 = 2 x 5 x 743 x 3719
Step 4: Therefore, the least common multiple of 7430 and 7438 is 27632170.