Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7477 and 7481 the smallest integer that is 55935437 that is divisible by both numbers.
Least Common Multiple (LCM) of 7477 and 7481 is 55935437.
LCM(7477,7481) = 55935437
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 7477 and 7481. First we will calculate the prime factors of 7477 and 7481.
Prime Factorization of 7477
7477 | 7477 |
1 |
Prime factors of 7477 are 7477. Prime factorization of 7477 in exponential form is:
7477 = 74771
Prime Factorization of 7481
7481 | 7481 |
1 |
Prime factors of 7481 are 7481. Prime factorization of 7481 in exponential form is:
7481 = 74811
Now multiplying the highest exponent prime factors to calculate the LCM of 7477 and 7481.
LCM(7477,7481) = 74771×74811
LCM(7477,7481) = 55935437
Factors of 7477
List of positive integer factors of 7477 that divides 7477 without a remainder.
1, 7477
Factors of 7481
List of positive integer factors of 7481 that divides 7481 without a remainder.
1, 7481
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7477 and 7481, than apply into the LCM equation.
GCF(7477,7481) = 1
LCM(7477,7481) = ( 7477 × 7481) / 1
LCM(7477,7481) = 55935437 / 1
LCM(7477,7481) = 55935437
(i) The LCM of 7481 and 7477 is associative
LCM of 7477 and 7481 = LCM of 7481 and 7477
1. What is the LCM of 7477 and 7481?
Answer: LCM of 7477 and 7481 is 55935437.
2. What are the Factors of 7477?
Answer: Factors of 7477 are 1, 7477. There are 2 integers that are factors of 7477. The greatest factor of 7477 is 7477.
3. What are the Factors of 7481?
Answer: Factors of 7481 are 1, 7481. There are 2 integers that are factors of 7481. The greatest factor of 7481 is 7481.
4. How to Find the LCM of 7477 and 7481?
Answer:
Least Common Multiple of 7477 and 7481 = 55935437
Step 1: Find the prime factorization of 7477
7477 = 7477
Step 2: Find the prime factorization of 7481
7481 = 7481
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 55935437 = 7477 x 7481
Step 4: Therefore, the least common multiple of 7477 and 7481 is 55935437.