Least Common Multiple of 55 and 59

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

• Least Common Multiple of 55 and 59 by Prime method
• Least Common Multiple of 55 and 59 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 55 and 59. First we will calculate the prime factors of 55 and 59.

Prime Factorization of 55

Prime factors of 55 are 5,11. Prime factorization of 55 in exponential form is:

55 = 5¹×11¹

Prime Factorization of 59

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

59 = 59¹

Now multiplying the highest exponent prime factors to calculate the LCM of 55 and 59.

LCM(55,59) = 5¹×11¹×59¹
LCM(55,59) = 3245

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Factors of 59

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

1, 59

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55 and 59, than apply into the LCM equation.

GCF(55,59) = 1
LCM(55,59) = ( 55 × 59) / 1
LCM(55,59) = 3245 / 1
LCM(55,59) = 3245

(i) The LCM of 59 and 55 is associative

LCM of 55 and 59 = LCM of 59 and 55

1. What is the LCM of 55 and 59?

Answer: LCM of 55 and 59 is 3245.

2. What are the Factors of 55?

Answer: Factors of 55 are 1, 5, 11, 55. There are 4 integers that are factors of 55. The greatest factor of 55 is 55.

3. 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.

4. How to Find the LCM of 55 and 59?

Answer:

Least Common Multiple of 55 and 59 = 3245

Step 1: Find the prime factorization of 55

55 = 5 x 11

Step 2: Find the prime factorization of 59

59 = 59

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

LCM = 3245 = 5 x 11 x 59

Step 4: Therefore, the least common multiple of 55 and 59 is 3245.