Least Common Multiple of 89137 and 89142

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

• Least Common Multiple of 89137 and 89142 by Prime method
• Least Common Multiple of 89137 and 89142 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89137 and 89142. First we will calculate the prime factors of 89137 and 89142.

Prime Factorization of 89137

Prime factors of 89137 are 89137. Prime factorization of 89137 in exponential form is:

89137 = 89137¹

Prime Factorization of 89142

Prime factors of 89142 are 2, 3, 83,179. Prime factorization of 89142 in exponential form is:

89142 = 2¹×3¹×83¹×179¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89137 and 89142.

LCM(89137,89142) = 2¹×3¹×83¹×179¹×89137¹
LCM(89137,89142) = 7945850454

Factors of 89137

List of positive integer factors of 89137 that divides 89137 without a remainder.

1, 89137

Factors of 89142

List of positive integer factors of 89142 that divides 89142 without a remainder.

1, 2, 3, 6, 83, 166, 179, 249, 358, 498, 537, 1074, 14857, 29714, 44571, 89142

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89137 and 89142, than apply into the LCM equation.

GCF(89137,89142) = 1
LCM(89137,89142) = ( 89137 × 89142) / 1
LCM(89137,89142) = 7945850454 / 1
LCM(89137,89142) = 7945850454

(i) The LCM of 89142 and 89137 is associative

LCM of 89137 and 89142 = LCM of 89142 and 89137

1. What is the LCM of 89137 and 89142?

Answer: LCM of 89137 and 89142 is 7945850454.

2. What are the Factors of 89137?

Answer: Factors of 89137 are 1, 89137. There are 2 integers that are factors of 89137. The greatest factor of 89137 is 89137.

3. What are the Factors of 89142?

Answer: Factors of 89142 are 1, 2, 3, 6, 83, 166, 179, 249, 358, 498, 537, 1074, 14857, 29714, 44571, 89142. There are 16 integers that are factors of 89142. The greatest factor of 89142 is 89142.

4. How to Find the LCM of 89137 and 89142?

Answer:

Least Common Multiple of 89137 and 89142 = 7945850454

Step 1: Find the prime factorization of 89137

89137 = 89137

Step 2: Find the prime factorization of 89142

89142 = 2 x 3 x 83 x 179

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

LCM = 7945850454 = 2 x 3 x 83 x 179 x 89137

Step 4: Therefore, the least common multiple of 89137 and 89142 is 7945850454.