Least Common Multiple of 89 and 91

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

• Least Common Multiple of 89 and 91 by Prime method
• Least Common Multiple of 89 and 91 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89 and 91. First we will calculate the prime factors of 89 and 91.

Prime Factorization of 89

Prime factors of 89 are 89. Prime factorization of 89 in exponential form is:

89 = 89¹

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 89 and 91.

LCM(89,91) = 7¹×13¹×89¹
LCM(89,91) = 8099

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1, 89

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 89 and 91, than apply into the LCM equation.

GCF(89,91) = 1
LCM(89,91) = ( 89 × 91) / 1
LCM(89,91) = 8099 / 1
LCM(89,91) = 8099

(i) The LCM of 91 and 89 is associative

LCM of 89 and 91 = LCM of 91 and 89

1. What is the LCM of 89 and 91?

Answer: LCM of 89 and 91 is 8099.

2. What are the Factors of 89?

Answer: Factors of 89 are 1, 89. There are 2 integers that are factors of 89. The greatest factor of 89 is 89.

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 89 and 91?

Answer:

Least Common Multiple of 89 and 91 = 8099

Step 1: Find the prime factorization of 89

89 = 89

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 = 8099 = 7 x 13 x 89

Step 4: Therefore, the least common multiple of 89 and 91 is 8099.