Least Common Multiple of 59 and 67

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

• Least Common Multiple of 59 and 67 by Prime method
• Least Common Multiple of 59 and 67 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 59 and 67. First we will calculate the prime factors of 59 and 67.

Prime Factorization of 59

Prime factors of 59 are 59. Prime factorization of 59 in exponential form is:

59 = 59¹

Prime Factorization of 67

Prime factors of 67 are 67. Prime factorization of 67 in exponential form is:

67 = 67¹

Now multiplying the highest exponent prime factors to calculate the LCM of 59 and 67.

LCM(59,67) = 59¹×67¹
LCM(59,67) = 3953

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1, 59

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1, 67

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59 and 67, than apply into the LCM equation.

GCF(59,67) = 1
LCM(59,67) = ( 59 × 67) / 1
LCM(59,67) = 3953 / 1
LCM(59,67) = 3953

(i) The LCM of 67 and 59 is associative

LCM of 59 and 67 = LCM of 67 and 59

1. What is the LCM of 59 and 67?

Answer: LCM of 59 and 67 is 3953.

2. What are the Factors of 59?

Answer: Factors of 59 are 1, 59. There are 2 integers that are factors of 59. The greatest factor of 59 is 59.

3. What are the Factors of 67?

Answer: Factors of 67 are 1, 67. There are 2 integers that are factors of 67. The greatest factor of 67 is 67.

4. How to Find the LCM of 59 and 67?

Answer:

Least Common Multiple of 59 and 67 = 3953

Step 1: Find the prime factorization of 59

59 = 59

Step 2: Find the prime factorization of 67

67 = 67

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

LCM = 3953 = 59 x 67

Step 4: Therefore, the least common multiple of 59 and 67 is 3953.