Least Common Multiple of 89167 and 89171

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

• Least Common Multiple of 89167 and 89171 by Prime method
• Least Common Multiple of 89167 and 89171 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89167 and 89171. First we will calculate the prime factors of 89167 and 89171.

Prime Factorization of 89167

Prime factors of 89167 are 13,19. Prime factorization of 89167 in exponential form is:

89167 = 13¹×19³

Prime Factorization of 89171

Prime factors of 89171 are 23,3877. Prime factorization of 89171 in exponential form is:

89171 = 23¹×3877¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89167 and 89171.

LCM(89167,89171) = 13¹×19³×23¹×3877¹
LCM(89167,89171) = 7951110557

Factors of 89167

List of positive integer factors of 89167 that divides 89167 without a remainder.

1, 13, 19, 247, 361, 4693, 6859, 89167

Factors of 89171

List of positive integer factors of 89171 that divides 89171 without a remainder.

1, 23, 3877, 89171

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89167 and 89171, than apply into the LCM equation.

GCF(89167,89171) = 1
LCM(89167,89171) = ( 89167 × 89171) / 1
LCM(89167,89171) = 7951110557 / 1
LCM(89167,89171) = 7951110557

(i) The LCM of 89171 and 89167 is associative

LCM of 89167 and 89171 = LCM of 89171 and 89167

1. What is the LCM of 89167 and 89171?

Answer: LCM of 89167 and 89171 is 7951110557.

2. What are the Factors of 89167?

Answer: Factors of 89167 are 1, 13, 19, 247, 361, 4693, 6859, 89167. There are 8 integers that are factors of 89167. The greatest factor of 89167 is 89167.

3. What are the Factors of 89171?

Answer: Factors of 89171 are 1, 23, 3877, 89171. There are 4 integers that are factors of 89171. The greatest factor of 89171 is 89171.

4. How to Find the LCM of 89167 and 89171?

Answer:

Least Common Multiple of 89167 and 89171 = 7951110557

Step 1: Find the prime factorization of 89167

89167 = 13 x 19 x 19 x 19

Step 2: Find the prime factorization of 89171

89171 = 23 x 3877

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

LCM = 7951110557 = 13 x 19 x 19 x 19 x 23 x 3877

Step 4: Therefore, the least common multiple of 89167 and 89171 is 7951110557.