Least Common Multiple of 89121 and 89126

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

• Least Common Multiple of 89121 and 89126 by Prime method
• Least Common Multiple of 89121 and 89126 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89121 and 89126. First we will calculate the prime factors of 89121 and 89126.

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 89126

Prime factors of 89126 are 2,44563. Prime factorization of 89126 in exponential form is:

89126 = 2¹×44563¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89121 and 89126.

LCM(89121,89126) = 2¹×3¹×61¹×487¹×44563¹
LCM(89121,89126) = 7942998246

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 89126

List of positive integer factors of 89126 that divides 89126 without a remainder.

1, 2, 44563, 89126

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89121 and 89126, than apply into the LCM equation.

GCF(89121,89126) = 1
LCM(89121,89126) = ( 89121 × 89126) / 1
LCM(89121,89126) = 7942998246 / 1
LCM(89121,89126) = 7942998246

(i) The LCM of 89126 and 89121 is associative

LCM of 89121 and 89126 = LCM of 89126 and 89121

1. What is the LCM of 89121 and 89126?

Answer: LCM of 89121 and 89126 is 7942998246.

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 89126?

Answer: Factors of 89126 are 1, 2, 44563, 89126. There are 4 integers that are factors of 89126. The greatest factor of 89126 is 89126.

4. How to Find the LCM of 89121 and 89126?

Answer:

Least Common Multiple of 89121 and 89126 = 7942998246

Step 1: Find the prime factorization of 89121

89121 = 3 x 61 x 487

Step 2: Find the prime factorization of 89126

89126 = 2 x 44563

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

LCM = 7942998246 = 2 x 3 x 61 x 487 x 44563

Step 4: Therefore, the least common multiple of 89121 and 89126 is 7942998246.