Least Common Multiple of 89 and 94

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

• Least Common Multiple of 89 and 94 by Prime method
• Least Common Multiple of 89 and 94 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89 and 94. First we will calculate the prime factors of 89 and 94.

Prime Factorization of 89

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

89 = 89¹

Prime Factorization of 94

Prime factors of 94 are 2,47. Prime factorization of 94 in exponential form is:

94 = 2¹×47¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89 and 94.

LCM(89,94) = 2¹×47¹×89¹
LCM(89,94) = 8366

Factors of 89

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

1, 89

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1, 2, 47, 94

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89 and 94, than apply into the LCM equation.

GCF(89,94) = 1
LCM(89,94) = ( 89 × 94) / 1
LCM(89,94) = 8366 / 1
LCM(89,94) = 8366

(i) The LCM of 94 and 89 is associative

LCM of 89 and 94 = LCM of 94 and 89

1. What is the LCM of 89 and 94?

Answer: LCM of 89 and 94 is 8366.

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 94?

Answer: Factors of 94 are 1, 2, 47, 94. There are 4 integers that are factors of 94. The greatest factor of 94 is 94.

4. How to Find the LCM of 89 and 94?

Answer:

Least Common Multiple of 89 and 94 = 8366

Step 1: Find the prime factorization of 89

89 = 89

Step 2: Find the prime factorization of 94

94 = 2 x 47

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

LCM = 8366 = 2 x 47 x 89

Step 4: Therefore, the least common multiple of 89 and 94 is 8366.