Least Common Multiple of 89137 and 89144

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

• Least Common Multiple of 89137 and 89144 by Prime method
• Least Common Multiple of 89137 and 89144 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89137 and 89144. First we will calculate the prime factors of 89137 and 89144.

Prime Factorization of 89137

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

89137 = 89137¹

Prime Factorization of 89144

Prime factors of 89144 are 2, 11,1013. Prime factorization of 89144 in exponential form is:

89144 = 2³×11¹×1013¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89137 and 89144.

LCM(89137,89144) = 2³×11¹×1013¹×89137¹
LCM(89137,89144) = 7946028728

Factors of 89137

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

1, 89137

Factors of 89144

List of positive integer factors of 89144 that divides 89144 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1013, 2026, 4052, 8104, 11143, 22286, 44572, 89144

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89137 and 89144, than apply into the LCM equation.

GCF(89137,89144) = 1
LCM(89137,89144) = ( 89137 × 89144) / 1
LCM(89137,89144) = 7946028728 / 1
LCM(89137,89144) = 7946028728

(i) The LCM of 89144 and 89137 is associative

LCM of 89137 and 89144 = LCM of 89144 and 89137

1. What is the LCM of 89137 and 89144?

Answer: LCM of 89137 and 89144 is 7946028728.

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 89144?

Answer: Factors of 89144 are 1, 2, 4, 8, 11, 22, 44, 88, 1013, 2026, 4052, 8104, 11143, 22286, 44572, 89144. There are 16 integers that are factors of 89144. The greatest factor of 89144 is 89144.

4. How to Find the LCM of 89137 and 89144?

Answer:

Least Common Multiple of 89137 and 89144 = 7946028728

Step 1: Find the prime factorization of 89137

89137 = 89137

Step 2: Find the prime factorization of 89144

89144 = 2 x 2 x 2 x 11 x 1013

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

LCM = 7946028728 = 2 x 2 x 2 x 11 x 1013 x 89137

Step 4: Therefore, the least common multiple of 89137 and 89144 is 7946028728.