Least Common Multiple of 89 and 93

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

• Least Common Multiple of 89 and 93 by Prime method
• Least Common Multiple of 89 and 93 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89 and 93. First we will calculate the prime factors of 89 and 93.

Prime Factorization of 89

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

89 = 89¹

Prime Factorization of 93

Prime factors of 93 are 3,31. Prime factorization of 93 in exponential form is:

93 = 3¹×31¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89 and 93.

LCM(89,93) = 3¹×31¹×89¹
LCM(89,93) = 8277

Factors of 89

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

1, 89

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1, 3, 31, 93

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89 and 93, than apply into the LCM equation.

GCF(89,93) = 1
LCM(89,93) = ( 89 × 93) / 1
LCM(89,93) = 8277 / 1
LCM(89,93) = 8277

(i) The LCM of 93 and 89 is associative

LCM of 89 and 93 = LCM of 93 and 89

1. What is the LCM of 89 and 93?

Answer: LCM of 89 and 93 is 8277.

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 93?

Answer: Factors of 93 are 1, 3, 31, 93. There are 4 integers that are factors of 93. The greatest factor of 93 is 93.

4. How to Find the LCM of 89 and 93?

Answer:

Least Common Multiple of 89 and 93 = 8277

Step 1: Find the prime factorization of 89

89 = 89

Step 2: Find the prime factorization of 93

93 = 3 x 31

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

LCM = 8277 = 3 x 31 x 89

Step 4: Therefore, the least common multiple of 89 and 93 is 8277.