Least Common Multiple of 61 and 62

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

• Least Common Multiple of 61 and 62 by Prime method
• Least Common Multiple of 61 and 62 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 61 and 62. First we will calculate the prime factors of 61 and 62.

Prime Factorization of 61

Prime factors of 61 are 61. Prime factorization of 61 in exponential form is:

61 = 61¹

Prime Factorization of 62

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

62 = 2¹×31¹

Now multiplying the highest exponent prime factors to calculate the LCM of 61 and 62.

LCM(61,62) = 2¹×31¹×61¹
LCM(61,62) = 3782

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1, 61

Factors of 62

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

1, 2, 31, 62

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61 and 62, than apply into the LCM equation.

GCF(61,62) = 1
LCM(61,62) = ( 61 × 62) / 1
LCM(61,62) = 3782 / 1
LCM(61,62) = 3782

(i) The LCM of 62 and 61 is associative

LCM of 61 and 62 = LCM of 62 and 61

1. What is the LCM of 61 and 62?

Answer: LCM of 61 and 62 is 3782.

2. What are the Factors of 61?

Answer: Factors of 61 are 1, 61. There are 2 integers that are factors of 61. The greatest factor of 61 is 61.

3. 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.

4. How to Find the LCM of 61 and 62?

Answer:

Least Common Multiple of 61 and 62 = 3782

Step 1: Find the prime factorization of 61

61 = 61

Step 2: Find the prime factorization of 62

62 = 2 x 31

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

LCM = 3782 = 2 x 31 x 61

Step 4: Therefore, the least common multiple of 61 and 62 is 3782.