Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 35 and 53 the smallest integer that is 1855 that is divisible by both numbers.
Least Common Multiple (LCM) of 35 and 53 is 1855.
LCM(35,53) = 1855
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 35 and 53. First we will calculate the prime factors of 35 and 53.
Prime Factorization of 35
5 | 35 |
7 | 7 |
1 |
Prime factors of 35 are 5,7. Prime factorization of 35 in exponential form is:
35 = 51×71
Prime Factorization of 53
53 | 53 |
1 |
Prime factors of 53 are 53. Prime factorization of 53 in exponential form is:
53 = 531
Now multiplying the highest exponent prime factors to calculate the LCM of 35 and 53.
LCM(35,53) = 51×71×531
LCM(35,53) = 1855
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1, 53
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35 and 53, than apply into the LCM equation.
GCF(35,53) = 1
LCM(35,53) = ( 35 × 53) / 1
LCM(35,53) = 1855 / 1
LCM(35,53) = 1855
(i) The LCM of 53 and 35 is associative
LCM of 35 and 53 = LCM of 53 and 35
1. What is the LCM of 35 and 53?
Answer: LCM of 35 and 53 is 1855.
2. What are the Factors of 35?
Answer: Factors of 35 are 1, 5, 7, 35. There are 4 integers that are factors of 35. The greatest factor of 35 is 35.
3. What are the Factors of 53?
Answer: Factors of 53 are 1, 53. There are 2 integers that are factors of 53. The greatest factor of 53 is 53.
4. How to Find the LCM of 35 and 53?
Answer:
Least Common Multiple of 35 and 53 = 1855
Step 1: Find the prime factorization of 35
35 = 5 x 7
Step 2: Find the prime factorization of 53
53 = 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1855 = 5 x 7 x 53
Step 4: Therefore, the least common multiple of 35 and 53 is 1855.