Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7522 and 7523 the smallest integer that is 56588006 that is divisible by both numbers.
Least Common Multiple (LCM) of 7522 and 7523 is 56588006.
LCM(7522,7523) = 56588006
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 7522 and 7523. First we will calculate the prime factors of 7522 and 7523.
Prime Factorization of 7522
2 | 7522 |
3761 | 3761 |
1 |
Prime factors of 7522 are 2,3761. Prime factorization of 7522 in exponential form is:
7522 = 21×37611
Prime Factorization of 7523
7523 | 7523 |
1 |
Prime factors of 7523 are 7523. Prime factorization of 7523 in exponential form is:
7523 = 75231
Now multiplying the highest exponent prime factors to calculate the LCM of 7522 and 7523.
LCM(7522,7523) = 21×37611×75231
LCM(7522,7523) = 56588006
Factors of 7522
List of positive integer factors of 7522 that divides 7522 without a remainder.
1, 2, 3761, 7522
Factors of 7523
List of positive integer factors of 7523 that divides 7523 without a remainder.
1, 7523
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7522 and 7523, than apply into the LCM equation.
GCF(7522,7523) = 1
LCM(7522,7523) = ( 7522 × 7523) / 1
LCM(7522,7523) = 56588006 / 1
LCM(7522,7523) = 56588006
(i) The LCM of 7523 and 7522 is associative
LCM of 7522 and 7523 = LCM of 7523 and 7522
1. What is the LCM of 7522 and 7523?
Answer: LCM of 7522 and 7523 is 56588006.
2. What are the Factors of 7522?
Answer: Factors of 7522 are 1, 2, 3761, 7522. There are 4 integers that are factors of 7522. The greatest factor of 7522 is 7522.
3. What are the Factors of 7523?
Answer: Factors of 7523 are 1, 7523. There are 2 integers that are factors of 7523. The greatest factor of 7523 is 7523.
4. How to Find the LCM of 7522 and 7523?
Answer:
Least Common Multiple of 7522 and 7523 = 56588006
Step 1: Find the prime factorization of 7522
7522 = 2 x 3761
Step 2: Find the prime factorization of 7523
7523 = 7523
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56588006 = 2 x 3761 x 7523
Step 4: Therefore, the least common multiple of 7522 and 7523 is 56588006.