Least Common Multiple of 91 and 97

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

• Least Common Multiple of 91 and 97 by Prime method
• Least Common Multiple of 91 and 97 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 91 and 97. First we will calculate the prime factors of 91 and 97.

Prime Factorization of 91

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

91 = 7¹×13¹

Prime Factorization of 97

Prime factors of 97 are 97. Prime factorization of 97 in exponential form is:

97 = 97¹

Now multiplying the highest exponent prime factors to calculate the LCM of 91 and 97.

LCM(91,97) = 7¹×13¹×97¹
LCM(91,97) = 8827

Factors of 91

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

1, 7, 13, 91

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1, 97

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91 and 97, than apply into the LCM equation.

GCF(91,97) = 1
LCM(91,97) = ( 91 × 97) / 1
LCM(91,97) = 8827 / 1
LCM(91,97) = 8827

(i) The LCM of 97 and 91 is associative

LCM of 91 and 97 = LCM of 97 and 91

1. What is the LCM of 91 and 97?

Answer: LCM of 91 and 97 is 8827.

2. 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.

3. What are the Factors of 97?

Answer: Factors of 97 are 1, 97. There are 2 integers that are factors of 97. The greatest factor of 97 is 97.

4. How to Find the LCM of 91 and 97?

Answer:

Least Common Multiple of 91 and 97 = 8827

Step 1: Find the prime factorization of 91

91 = 7 x 13

Step 2: Find the prime factorization of 97

97 = 97

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

LCM = 8827 = 7 x 13 x 97

Step 4: Therefore, the least common multiple of 91 and 97 is 8827.