Least Common Multiple of 89128 and 89135

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 89135 the smallest integer that is 7944424280 that is divisible by both numbers.

Least Common Multiple (LCM) of 89128 and 89135 is 7944424280.

LCM(89128,89135) = 7944424280

LCM of 89128 and 89135

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

LCM of:
and

Least Common Multiple of 89128 and 89135

LCM of 89128 and 89135 is 7944424280

Least common multiple can be found by multiplying the highest exponent prime factors of 89128 and 89135. First we will calculate the prime factors of 89128 and 89135.

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 89135


5 89135
17827 17827
1

Prime factors of 89135 are 5,17827. Prime factorization of 89135 in exponential form is:

89135 = 51×178271

Now multiplying the highest exponent prime factors to calculate the LCM of 89128 and 89135.

LCM(89128,89135) = 23×51×131×8571×178271
LCM(89128,89135) = 7944424280

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 89135

List of positive integer factors of 89135 that divides 89135 without a remainder.

1, 5, 17827, 89135

Least Common Multiple of 89128 and 89135 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 89135, than apply into the LCM equation.

GCF(89128,89135) = 1
LCM(89128,89135) = ( 89128 × 89135) / 1
LCM(89128,89135) = 7944424280 / 1
LCM(89128,89135) = 7944424280

Properties of LCM 89128 and 89135

(i) The LCM of 89135 and 89128 is associative

LCM of 89128 and 89135 = LCM of 89135 and 89128

Related Least Common Multiples of 89128

Related Least Common Multiples of 89135

Frequently Asked Questions on LCM of 89128 and 89135

1. What is the LCM of 89128 and 89135?

Answer: LCM of 89128 and 89135 is 7944424280.

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 89135?

Answer: Factors of 89135 are 1, 5, 17827, 89135. There are 4 integers that are factors of 89135. The greatest factor of 89135 is 89135.

4. How to Find the LCM of 89128 and 89135?

Answer:

Least Common Multiple of 89128 and 89135 = 7944424280

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 89135

89135 = 5 x 17827

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

LCM = 7944424280 = 2 x 2 x 2 x 5 x 13 x 857 x 17827

Step 4: Therefore, the least common multiple of 89128 and 89135 is 7944424280.