Least Common Multiple of 89 and 95

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

• Least Common Multiple of 89 and 95 by Prime method
• Least Common Multiple of 89 and 95 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89 and 95. First we will calculate the prime factors of 89 and 95.

Prime Factorization of 89

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

89 = 89¹

Prime Factorization of 95

Prime factors of 95 are 5,19. Prime factorization of 95 in exponential form is:

95 = 5¹×19¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89 and 95.

LCM(89,95) = 5¹×19¹×89¹
LCM(89,95) = 8455

Factors of 89

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

1, 89

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1, 5, 19, 95

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89 and 95, than apply into the LCM equation.

GCF(89,95) = 1
LCM(89,95) = ( 89 × 95) / 1
LCM(89,95) = 8455 / 1
LCM(89,95) = 8455

(i) The LCM of 95 and 89 is associative

LCM of 89 and 95 = LCM of 95 and 89

1. What is the LCM of 89 and 95?

Answer: LCM of 89 and 95 is 8455.

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 95?

Answer: Factors of 95 are 1, 5, 19, 95. There are 4 integers that are factors of 95. The greatest factor of 95 is 95.

4. How to Find the LCM of 89 and 95?

Answer:

Least Common Multiple of 89 and 95 = 8455

Step 1: Find the prime factorization of 89

89 = 89

Step 2: Find the prime factorization of 95

95 = 5 x 19

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

LCM = 8455 = 5 x 19 x 89

Step 4: Therefore, the least common multiple of 89 and 95 is 8455.