Least Common Multiple of 83 and 91

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

• Least Common Multiple of 83 and 91 by Prime method
• Least Common Multiple of 83 and 91 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 83 and 91. First we will calculate the prime factors of 83 and 91.

Prime Factorization of 83

Prime factors of 83 are 83. Prime factorization of 83 in exponential form is:

83 = 83¹

Prime Factorization of 91

Prime factors of 91 are 7,13. Prime factorization of 91 in exponential form is:

91 = 7¹×13¹

Now multiplying the highest exponent prime factors to calculate the LCM of 83 and 91.

LCM(83,91) = 7¹×13¹×83¹
LCM(83,91) = 7553

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1, 83

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1, 7, 13, 91

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83 and 91, than apply into the LCM equation.

GCF(83,91) = 1
LCM(83,91) = ( 83 × 91) / 1
LCM(83,91) = 7553 / 1
LCM(83,91) = 7553

(i) The LCM of 91 and 83 is associative

LCM of 83 and 91 = LCM of 91 and 83

1. What is the LCM of 83 and 91?

Answer: LCM of 83 and 91 is 7553.

2. What are the Factors of 83?

Answer: Factors of 83 are 1, 83. There are 2 integers that are factors of 83. The greatest factor of 83 is 83.

3. What are the Factors of 91?

Answer: Factors of 91 are 1, 7, 13, 91. There are 4 integers that are factors of 91. The greatest factor of 91 is 91.

4. How to Find the LCM of 83 and 91?

Answer:

Least Common Multiple of 83 and 91 = 7553

Step 1: Find the prime factorization of 83

83 = 83

Step 2: Find the prime factorization of 91

91 = 7 x 13

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

LCM = 7553 = 7 x 13 x 83

Step 4: Therefore, the least common multiple of 83 and 91 is 7553.