Least Common Multiple of 35 and 53

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

LCM of 35 and 53

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 35 and 53

LCM of 35 and 53 is 1855

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

Least Common Multiple of 35 and 53 with GCF Formula

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

Properties of LCM 35 and 53

(i) The LCM of 53 and 35 is associative

LCM of 35 and 53 = LCM of 53 and 35

Frequently Asked Questions on LCM of 35 and 53

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.