Least Common Multiple of 35 and 38

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 38 the smallest integer that is 1330 that is divisible by both numbers.

Least Common Multiple (LCM) of 35 and 38 is 1330.

LCM(35,38) = 1330

LCM of 35 and 38

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

LCM of:
and

Least Common Multiple of 35 and 38

LCM of 35 and 38 is 1330

Least common multiple can be found by multiplying the highest exponent prime factors of 35 and 38. First we will calculate the prime factors of 35 and 38.

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 38


2 38
19 19
1

Prime factors of 38 are 2,19. Prime factorization of 38 in exponential form is:

38 = 21×191

Now multiplying the highest exponent prime factors to calculate the LCM of 35 and 38.

LCM(35,38) = 21×51×71×191
LCM(35,38) = 1330

Factors of 35

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

1, 5, 7, 35

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Least Common Multiple of 35 and 38 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 38, than apply into the LCM equation.

GCF(35,38) = 1
LCM(35,38) = ( 35 × 38) / 1
LCM(35,38) = 1330 / 1
LCM(35,38) = 1330

Properties of LCM 35 and 38

(i) The LCM of 38 and 35 is associative

LCM of 35 and 38 = LCM of 38 and 35

Related Least Common Multiples of 35

Related Least Common Multiples of 38

Frequently Asked Questions on LCM of 35 and 38

1. What is the LCM of 35 and 38?

Answer: LCM of 35 and 38 is 1330.

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 38?

Answer: Factors of 38 are 1, 2, 19, 38. There are 4 integers that are factors of 38. The greatest factor of 38 is 38.

4. How to Find the LCM of 35 and 38?

Answer:

Least Common Multiple of 35 and 38 = 1330

Step 1: Find the prime factorization of 35

35 = 5 x 7

Step 2: Find the prime factorization of 38

38 = 2 x 19

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

LCM = 1330 = 2 x 5 x 7 x 19

Step 4: Therefore, the least common multiple of 35 and 38 is 1330.