Least Common Multiple of 89121 and 89129

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

• Least Common Multiple of 89121 and 89129 by Prime method
• Least Common Multiple of 89121 and 89129 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89121 and 89129. First we will calculate the prime factors of 89121 and 89129.

Prime Factorization of 89121

Prime factors of 89121 are 3, 61,487. Prime factorization of 89121 in exponential form is:

89121 = 3¹×61¹×487¹

Prime Factorization of 89129

Prime factors of 89129 are 19,4691. Prime factorization of 89129 in exponential form is:

89129 = 19¹×4691¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89121 and 89129.

LCM(89121,89129) = 3¹×19¹×61¹×487¹×4691¹
LCM(89121,89129) = 7943265609

Factors of 89121

List of positive integer factors of 89121 that divides 89121 without a remainder.

1, 3, 61, 183, 487, 1461, 29707, 89121

Factors of 89129

List of positive integer factors of 89129 that divides 89129 without a remainder.

1, 19, 4691, 89129

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89121 and 89129, than apply into the LCM equation.

GCF(89121,89129) = 1
LCM(89121,89129) = ( 89121 × 89129) / 1
LCM(89121,89129) = 7943265609 / 1
LCM(89121,89129) = 7943265609

(i) The LCM of 89129 and 89121 is associative

LCM of 89121 and 89129 = LCM of 89129 and 89121

1. What is the LCM of 89121 and 89129?

Answer: LCM of 89121 and 89129 is 7943265609.

2. What are the Factors of 89121?

Answer: Factors of 89121 are 1, 3, 61, 183, 487, 1461, 29707, 89121. There are 8 integers that are factors of 89121. The greatest factor of 89121 is 89121.

3. What are the Factors of 89129?

Answer: Factors of 89129 are 1, 19, 4691, 89129. There are 4 integers that are factors of 89129. The greatest factor of 89129 is 89129.

4. How to Find the LCM of 89121 and 89129?

Answer:

Least Common Multiple of 89121 and 89129 = 7943265609

Step 1: Find the prime factorization of 89121

89121 = 3 x 61 x 487

Step 2: Find the prime factorization of 89129

89129 = 19 x 4691

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

LCM = 7943265609 = 3 x 19 x 61 x 487 x 4691

Step 4: Therefore, the least common multiple of 89121 and 89129 is 7943265609.