Least Common Multiple of 62 and 67

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

• Least Common Multiple of 62 and 67 by Prime method
• Least Common Multiple of 62 and 67 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 62 and 67. First we will calculate the prime factors of 62 and 67.

Prime Factorization of 62

Prime factors of 62 are 2,31. Prime factorization of 62 in exponential form is:

62 = 2¹×31¹

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 62 and 67.

LCM(62,67) = 2¹×31¹×67¹
LCM(62,67) = 4154

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1, 2, 31, 62

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 62 and 67, than apply into the LCM equation.

GCF(62,67) = 1
LCM(62,67) = ( 62 × 67) / 1
LCM(62,67) = 4154 / 1
LCM(62,67) = 4154

(i) The LCM of 67 and 62 is associative

LCM of 62 and 67 = LCM of 67 and 62

1. What is the LCM of 62 and 67?

Answer: LCM of 62 and 67 is 4154.

2. What are the Factors of 62?

Answer: Factors of 62 are 1, 2, 31, 62. There are 4 integers that are factors of 62. The greatest factor of 62 is 62.

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 62 and 67?

Answer:

Least Common Multiple of 62 and 67 = 4154

Step 1: Find the prime factorization of 62

62 = 2 x 31

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 = 4154 = 2 x 31 x 67

Step 4: Therefore, the least common multiple of 62 and 67 is 4154.