Least Common Multiple of 89128 and 89134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 89128 and 89134 the smallest integer that is 3972167576 that is divisible by both numbers.

Least Common Multiple (LCM) of 89128 and 89134 is 3972167576.

LCM(89128,89134) = 3972167576

LCM of 89128 and 89134

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

LCM of:
and

Least Common Multiple of 89128 and 89134

LCM of 89128 and 89134 is 3972167576

Least common multiple can be found by multiplying the highest exponent prime factors of 89128 and 89134. First we will calculate the prime factors of 89128 and 89134.

Prime Factorization of 89128


2 89128
2 44564
2 22282
13 11141
857 857
1

Prime factors of 89128 are 2, 13,857. Prime factorization of 89128 in exponential form is:

89128 = 23×131×8571

Prime Factorization of 89134


2 89134
41 44567
1087 1087
1

Prime factors of 89134 are 2, 41,1087. Prime factorization of 89134 in exponential form is:

89134 = 21×411×10871

Now multiplying the highest exponent prime factors to calculate the LCM of 89128 and 89134.

LCM(89128,89134) = 23×131×411×8571×10871
LCM(89128,89134) = 3972167576

Factors of 89128

List of positive integer factors of 89128 that divides 89128 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 857, 1714, 3428, 6856, 11141, 22282, 44564, 89128

Factors of 89134

List of positive integer factors of 89134 that divides 89134 without a remainder.

1, 2, 41, 82, 1087, 2174, 44567, 89134

Least Common Multiple of 89128 and 89134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89128 and 89134, than apply into the LCM equation.

GCF(89128,89134) = 2
LCM(89128,89134) = ( 89128 × 89134) / 2
LCM(89128,89134) = 7944335152 / 2
LCM(89128,89134) = 3972167576

Properties of LCM 89128 and 89134

(i) The LCM of 89134 and 89128 is associative

LCM of 89128 and 89134 = LCM of 89134 and 89128

Related Least Common Multiples of 89128

Related Least Common Multiples of 89134

Frequently Asked Questions on LCM of 89128 and 89134

1. What is the LCM of 89128 and 89134?

Answer: LCM of 89128 and 89134 is 3972167576.

2. What are the Factors of 89128?

Answer: Factors of 89128 are 1, 2, 4, 8, 13, 26, 52, 104, 857, 1714, 3428, 6856, 11141, 22282, 44564, 89128. There are 16 integers that are factors of 89128. The greatest factor of 89128 is 89128.

3. What are the Factors of 89134?

Answer: Factors of 89134 are 1, 2, 41, 82, 1087, 2174, 44567, 89134. There are 8 integers that are factors of 89134. The greatest factor of 89134 is 89134.

4. How to Find the LCM of 89128 and 89134?

Answer:

Least Common Multiple of 89128 and 89134 = 3972167576

Step 1: Find the prime factorization of 89128

89128 = 2 x 2 x 2 x 13 x 857

Step 2: Find the prime factorization of 89134

89134 = 2 x 41 x 1087

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

LCM = 3972167576 = 2 x 2 x 2 x 13 x 41 x 857 x 1087

Step 4: Therefore, the least common multiple of 89128 and 89134 is 3972167576.