Least Common Multiple of 35 and 55

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 55 the smallest integer that is 385 that is divisible by both numbers.

Least Common Multiple (LCM) of 35 and 55 is 385.

LCM(35,55) = 385

LCM of 35 and 55

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

LCM of:
and

Least Common Multiple of 35 and 55

LCM of 35 and 55 is 385

Least common multiple can be found by multiplying the highest exponent prime factors of 35 and 55. First we will calculate the prime factors of 35 and 55.

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 55


5 55
11 11
1

Prime factors of 55 are 5,11. Prime factorization of 55 in exponential form is:

55 = 51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 35 and 55.

LCM(35,55) = 51×71×111
LCM(35,55) = 385

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Least Common Multiple of 35 and 55 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 55, than apply into the LCM equation.

GCF(35,55) = 5
LCM(35,55) = ( 35 × 55) / 5
LCM(35,55) = 1925 / 5
LCM(35,55) = 385

Properties of LCM 35 and 55

(i) The LCM of 55 and 35 is associative

LCM of 35 and 55 = LCM of 55 and 35

Related Least Common Multiples of 35

Related Least Common Multiples of 55

Frequently Asked Questions on LCM of 35 and 55

1. What is the LCM of 35 and 55?

Answer: LCM of 35 and 55 is 385.

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 55?

Answer: Factors of 55 are 1, 5, 11, 55. There are 4 integers that are factors of 55. The greatest factor of 55 is 55.

4. How to Find the LCM of 35 and 55?

Answer:

Least Common Multiple of 35 and 55 = 385

Step 1: Find the prime factorization of 35

35 = 5 x 7

Step 2: Find the prime factorization of 55

55 = 5 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 385 = 5 x 7 x 11

Step 4: Therefore, the least common multiple of 35 and 55 is 385.