Least Common Multiple of 89138 and 89144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 89138 and 89144 the smallest integer that is 3973058936 that is divisible by both numbers.

Least Common Multiple (LCM) of 89138 and 89144 is 3973058936.

LCM(89138,89144) = 3973058936

LCM of 89138 and 89144

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

LCM of:
and

Least Common Multiple of 89138 and 89144

LCM of 89138 and 89144 is 3973058936

Least common multiple can be found by multiplying the highest exponent prime factors of 89138 and 89144. First we will calculate the prime factors of 89138 and 89144.

Prime Factorization of 89138


2 89138
7 44569
6367 6367
1

Prime factors of 89138 are 2, 7,6367. Prime factorization of 89138 in exponential form is:

89138 = 21×71×63671

Prime Factorization of 89144


2 89144
2 44572
2 22286
11 11143
1013 1013
1

Prime factors of 89144 are 2, 11,1013. Prime factorization of 89144 in exponential form is:

89144 = 23×111×10131

Now multiplying the highest exponent prime factors to calculate the LCM of 89138 and 89144.

LCM(89138,89144) = 23×71×111×10131×63671
LCM(89138,89144) = 3973058936

Factors of 89138

List of positive integer factors of 89138 that divides 89138 without a remainder.

1, 2, 7, 14, 6367, 12734, 44569, 89138

Factors of 89144

List of positive integer factors of 89144 that divides 89144 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1013, 2026, 4052, 8104, 11143, 22286, 44572, 89144

Least Common Multiple of 89138 and 89144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89138 and 89144, than apply into the LCM equation.

GCF(89138,89144) = 2
LCM(89138,89144) = ( 89138 × 89144) / 2
LCM(89138,89144) = 7946117872 / 2
LCM(89138,89144) = 3973058936

Properties of LCM 89138 and 89144

(i) The LCM of 89144 and 89138 is associative

LCM of 89138 and 89144 = LCM of 89144 and 89138

Related Least Common Multiples of 89138

Related Least Common Multiples of 89144

Frequently Asked Questions on LCM of 89138 and 89144

1. What is the LCM of 89138 and 89144?

Answer: LCM of 89138 and 89144 is 3973058936.

2. What are the Factors of 89138?

Answer: Factors of 89138 are 1, 2, 7, 14, 6367, 12734, 44569, 89138. There are 8 integers that are factors of 89138. The greatest factor of 89138 is 89138.

3. What are the Factors of 89144?

Answer: Factors of 89144 are 1, 2, 4, 8, 11, 22, 44, 88, 1013, 2026, 4052, 8104, 11143, 22286, 44572, 89144. There are 16 integers that are factors of 89144. The greatest factor of 89144 is 89144.

4. How to Find the LCM of 89138 and 89144?

Answer:

Least Common Multiple of 89138 and 89144 = 3973058936

Step 1: Find the prime factorization of 89138

89138 = 2 x 7 x 6367

Step 2: Find the prime factorization of 89144

89144 = 2 x 2 x 2 x 11 x 1013

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

LCM = 3973058936 = 2 x 2 x 2 x 7 x 11 x 1013 x 6367

Step 4: Therefore, the least common multiple of 89138 and 89144 is 3973058936.