Least Common Multiple of 89121 and 89128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 89121 and 89128 the smallest integer that is 7943176488 that is divisible by both numbers.

Least Common Multiple (LCM) of 89121 and 89128 is 7943176488.

LCM(89121,89128) = 7943176488

LCM of 89121 and 89128

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

LCM of:
and

Least Common Multiple of 89121 and 89128

LCM of 89121 and 89128 is 7943176488

Least common multiple can be found by multiplying the highest exponent prime factors of 89121 and 89128. First we will calculate the prime factors of 89121 and 89128.

Prime Factorization of 89121


3 89121
61 29707
487 487
1

Prime factors of 89121 are 3, 61,487. Prime factorization of 89121 in exponential form is:

89121 = 31×611×4871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 89121 and 89128.

LCM(89121,89128) = 23×31×131×611×4871×8571
LCM(89121,89128) = 7943176488

Factors of 89121

List of positive integer factors of 89121 that divides 89121 without a remainder.

1, 3, 61, 183, 487, 1461, 29707, 89121

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

Least Common Multiple of 89121 and 89128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89121 and 89128, than apply into the LCM equation.

GCF(89121,89128) = 1
LCM(89121,89128) = ( 89121 × 89128) / 1
LCM(89121,89128) = 7943176488 / 1
LCM(89121,89128) = 7943176488

Properties of LCM 89121 and 89128

(i) The LCM of 89128 and 89121 is associative

LCM of 89121 and 89128 = LCM of 89128 and 89121

Related Least Common Multiples of 89121

Related Least Common Multiples of 89128

Frequently Asked Questions on LCM of 89121 and 89128

1. What is the LCM of 89121 and 89128?

Answer: LCM of 89121 and 89128 is 7943176488.

2. What are the Factors of 89121?

Answer: Factors of 89121 are 1, 3, 61, 183, 487, 1461, 29707, 89121. There are 8 integers that are factors of 89121. The greatest factor of 89121 is 89121.

3. 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.

4. How to Find the LCM of 89121 and 89128?

Answer:

Least Common Multiple of 89121 and 89128 = 7943176488

Step 1: Find the prime factorization of 89121

89121 = 3 x 61 x 487

Step 2: Find the prime factorization of 89128

89128 = 2 x 2 x 2 x 13 x 857

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

LCM = 7943176488 = 2 x 2 x 2 x 3 x 13 x 61 x 487 x 857

Step 4: Therefore, the least common multiple of 89121 and 89128 is 7943176488.