Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7545 and 7552 the smallest integer that is 56979840 that is divisible by both numbers.
Least Common Multiple (LCM) of 7545 and 7552 is 56979840.
LCM(7545,7552) = 56979840
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 7545 and 7552. First we will calculate the prime factors of 7545 and 7552.
Prime Factorization of 7545
3 | 7545 |
5 | 2515 |
503 | 503 |
1 |
Prime factors of 7545 are 3, 5,503. Prime factorization of 7545 in exponential form is:
7545 = 31×51×5031
Prime Factorization of 7552
2 | 7552 |
2 | 3776 |
2 | 1888 |
2 | 944 |
2 | 472 |
2 | 236 |
2 | 118 |
59 | 59 |
1 |
Prime factors of 7552 are 2,59. Prime factorization of 7552 in exponential form is:
7552 = 27×591
Now multiplying the highest exponent prime factors to calculate the LCM of 7545 and 7552.
LCM(7545,7552) = 27×31×51×591×5031
LCM(7545,7552) = 56979840
Factors of 7545
List of positive integer factors of 7545 that divides 7545 without a remainder.
1, 3, 5, 15, 503, 1509, 2515, 7545
Factors of 7552
List of positive integer factors of 7552 that divides 7552 without a remainder.
1, 2, 4, 8, 16, 32, 59, 64, 118, 128, 236, 472, 944, 1888, 3776, 7552
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7545 and 7552, than apply into the LCM equation.
GCF(7545,7552) = 1
LCM(7545,7552) = ( 7545 × 7552) / 1
LCM(7545,7552) = 56979840 / 1
LCM(7545,7552) = 56979840
(i) The LCM of 7552 and 7545 is associative
LCM of 7545 and 7552 = LCM of 7552 and 7545
1. What is the LCM of 7545 and 7552?
Answer: LCM of 7545 and 7552 is 56979840.
2. What are the Factors of 7545?
Answer: Factors of 7545 are 1, 3, 5, 15, 503, 1509, 2515, 7545. There are 8 integers that are factors of 7545. The greatest factor of 7545 is 7545.
3. What are the Factors of 7552?
Answer: Factors of 7552 are 1, 2, 4, 8, 16, 32, 59, 64, 118, 128, 236, 472, 944, 1888, 3776, 7552. There are 16 integers that are factors of 7552. The greatest factor of 7552 is 7552.
4. How to Find the LCM of 7545 and 7552?
Answer:
Least Common Multiple of 7545 and 7552 = 56979840
Step 1: Find the prime factorization of 7545
7545 = 3 x 5 x 503
Step 2: Find the prime factorization of 7552
7552 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56979840 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 59 x 503
Step 4: Therefore, the least common multiple of 7545 and 7552 is 56979840.