Least Common Multiple of 29 and 37

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

• Least Common Multiple of 29 and 37 by Prime method
• Least Common Multiple of 29 and 37 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 29 and 37. First we will calculate the prime factors of 29 and 37.

Prime Factorization of 29

Prime factors of 29 are 29. Prime factorization of 29 in exponential form is:

29 = 29¹

Prime Factorization of 37

Prime factors of 37 are 37. Prime factorization of 37 in exponential form is:

37 = 37¹

Now multiplying the highest exponent prime factors to calculate the LCM of 29 and 37.

LCM(29,37) = 29¹×37¹
LCM(29,37) = 1073

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1, 29

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1, 37

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29 and 37, than apply into the LCM equation.

GCF(29,37) = 1
LCM(29,37) = ( 29 × 37) / 1
LCM(29,37) = 1073 / 1
LCM(29,37) = 1073

(i) The LCM of 37 and 29 is associative

LCM of 29 and 37 = LCM of 37 and 29

1. What is the LCM of 29 and 37?

Answer: LCM of 29 and 37 is 1073.

2. What are the Factors of 29?

Answer: Factors of 29 are 1, 29. There are 2 integers that are factors of 29. The greatest factor of 29 is 29.

3. What are the Factors of 37?

Answer: Factors of 37 are 1, 37. There are 2 integers that are factors of 37. The greatest factor of 37 is 37.

4. How to Find the LCM of 29 and 37?

Answer:

Least Common Multiple of 29 and 37 = 1073

Step 1: Find the prime factorization of 29

29 = 29

Step 2: Find the prime factorization of 37

37 = 37

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

LCM = 1073 = 29 x 37

Step 4: Therefore, the least common multiple of 29 and 37 is 1073.