Least Common Multiple of 59 and 62

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

• Least Common Multiple of 59 and 62 by Prime method
• Least Common Multiple of 59 and 62 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 59 and 62. First we will calculate the prime factors of 59 and 62.

Prime Factorization of 59

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

59 = 59¹

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 59 and 62.

LCM(59,62) = 2¹×31¹×59¹
LCM(59,62) = 3658

Factors of 59

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

1, 59

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 59 and 62, than apply into the LCM equation.

GCF(59,62) = 1
LCM(59,62) = ( 59 × 62) / 1
LCM(59,62) = 3658 / 1
LCM(59,62) = 3658

(i) The LCM of 62 and 59 is associative

LCM of 59 and 62 = LCM of 62 and 59

1. What is the LCM of 59 and 62?

Answer: LCM of 59 and 62 is 3658.

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 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 59 and 62?

Answer:

Least Common Multiple of 59 and 62 = 3658

Step 1: Find the prime factorization of 59

59 = 59

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 = 3658 = 2 x 31 x 59

Step 4: Therefore, the least common multiple of 59 and 62 is 3658.