Least Common Multiple of 89128 and 89133

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 89133 the smallest integer that is 7944246024 that is divisible by both numbers.

Least Common Multiple (LCM) of 89128 and 89133 is 7944246024.

LCM(89128,89133) = 7944246024

LCM of 89128 and 89133

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

LCM of:
and

Least Common Multiple of 89128 and 89133

LCM of 89128 and 89133 is 7944246024

Least common multiple can be found by multiplying the highest exponent prime factors of 89128 and 89133. First we will calculate the prime factors of 89128 and 89133.

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 89133


3 89133
11 29711
37 2701
73 73
1

Prime factors of 89133 are 3, 11, 37,73. Prime factorization of 89133 in exponential form is:

89133 = 31×111×371×731

Now multiplying the highest exponent prime factors to calculate the LCM of 89128 and 89133.

LCM(89128,89133) = 23×31×111×131×371×731×8571
LCM(89128,89133) = 7944246024

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 89133

List of positive integer factors of 89133 that divides 89133 without a remainder.

1, 3, 11, 33, 37, 73, 111, 219, 407, 803, 1221, 2409, 2701, 8103, 29711, 89133

Least Common Multiple of 89128 and 89133 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 89133, than apply into the LCM equation.

GCF(89128,89133) = 1
LCM(89128,89133) = ( 89128 × 89133) / 1
LCM(89128,89133) = 7944246024 / 1
LCM(89128,89133) = 7944246024

Properties of LCM 89128 and 89133

(i) The LCM of 89133 and 89128 is associative

LCM of 89128 and 89133 = LCM of 89133 and 89128

Related Least Common Multiples of 89128

Related Least Common Multiples of 89133

Frequently Asked Questions on LCM of 89128 and 89133

1. What is the LCM of 89128 and 89133?

Answer: LCM of 89128 and 89133 is 7944246024.

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 89133?

Answer: Factors of 89133 are 1, 3, 11, 33, 37, 73, 111, 219, 407, 803, 1221, 2409, 2701, 8103, 29711, 89133. There are 16 integers that are factors of 89133. The greatest factor of 89133 is 89133.

4. How to Find the LCM of 89128 and 89133?

Answer:

Least Common Multiple of 89128 and 89133 = 7944246024

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 89133

89133 = 3 x 11 x 37 x 73

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

LCM = 7944246024 = 2 x 2 x 2 x 3 x 11 x 13 x 37 x 73 x 857

Step 4: Therefore, the least common multiple of 89128 and 89133 is 7944246024.