Least Common Multiple of 89143 and 89148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 89143 and 89148 the smallest integer that is 7946920164 that is divisible by both numbers.

Least Common Multiple (LCM) of 89143 and 89148 is 7946920164.

LCM(89143,89148) = 7946920164

LCM of 89143 and 89148

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

LCM of:
and

Least Common Multiple of 89143 and 89148

LCM of 89143 and 89148 is 7946920164

Least common multiple can be found by multiplying the highest exponent prime factors of 89143 and 89148. First we will calculate the prime factors of 89143 and 89148.

Prime Factorization of 89143


97 89143
919 919
1

Prime factors of 89143 are 97,919. Prime factorization of 89143 in exponential form is:

89143 = 971×9191

Prime Factorization of 89148


2 89148
2 44574
3 22287
17 7429
19 437
23 23
1

Prime factors of 89148 are 2, 3, 17, 19,23. Prime factorization of 89148 in exponential form is:

89148 = 22×31×171×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 89143 and 89148.

LCM(89143,89148) = 22×31×171×191×231×971×9191
LCM(89143,89148) = 7946920164

Factors of 89143

List of positive integer factors of 89143 that divides 89143 without a remainder.

1, 97, 919, 89143

Factors of 89148

List of positive integer factors of 89148 that divides 89148 without a remainder.

1, 2, 3, 4, 6, 12, 17, 19, 23, 34, 38, 46, 51, 57, 68, 69, 76, 92, 102, 114, 138, 204, 228, 276, 323, 391, 437, 646, 782, 874, 969, 1173, 1292, 1311, 1564, 1748, 1938, 2346, 2622, 3876, 4692, 5244, 7429, 14858, 22287, 29716, 44574, 89148

Least Common Multiple of 89143 and 89148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89143 and 89148, than apply into the LCM equation.

GCF(89143,89148) = 1
LCM(89143,89148) = ( 89143 × 89148) / 1
LCM(89143,89148) = 7946920164 / 1
LCM(89143,89148) = 7946920164

Properties of LCM 89143 and 89148

(i) The LCM of 89148 and 89143 is associative

LCM of 89143 and 89148 = LCM of 89148 and 89143

Related Least Common Multiples of 89143

Related Least Common Multiples of 89148

Frequently Asked Questions on LCM of 89143 and 89148

1. What is the LCM of 89143 and 89148?

Answer: LCM of 89143 and 89148 is 7946920164.

2. What are the Factors of 89143?

Answer: Factors of 89143 are 1, 97, 919, 89143. There are 4 integers that are factors of 89143. The greatest factor of 89143 is 89143.

3. What are the Factors of 89148?

Answer: Factors of 89148 are 1, 2, 3, 4, 6, 12, 17, 19, 23, 34, 38, 46, 51, 57, 68, 69, 76, 92, 102, 114, 138, 204, 228, 276, 323, 391, 437, 646, 782, 874, 969, 1173, 1292, 1311, 1564, 1748, 1938, 2346, 2622, 3876, 4692, 5244, 7429, 14858, 22287, 29716, 44574, 89148. There are 48 integers that are factors of 89148. The greatest factor of 89148 is 89148.

4. How to Find the LCM of 89143 and 89148?

Answer:

Least Common Multiple of 89143 and 89148 = 7946920164

Step 1: Find the prime factorization of 89143

89143 = 97 x 919

Step 2: Find the prime factorization of 89148

89148 = 2 x 2 x 3 x 17 x 19 x 23

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

LCM = 7946920164 = 2 x 2 x 3 x 17 x 19 x 23 x 97 x 919

Step 4: Therefore, the least common multiple of 89143 and 89148 is 7946920164.