Least Common Multiple of 89140 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 89140 and 89144 the smallest integer that is 1986574040 that is divisible by both numbers.

Least Common Multiple (LCM) of 89140 and 89144 is 1986574040.

LCM(89140,89144) = 1986574040

LCM of 89140 and 89144

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

LCM of:
and

Least Common Multiple of 89140 and 89144

LCM of 89140 and 89144 is 1986574040

Least common multiple can be found by multiplying the highest exponent prime factors of 89140 and 89144. First we will calculate the prime factors of 89140 and 89144.

Prime Factorization of 89140


2 89140
2 44570
5 22285
4457 4457
1

Prime factors of 89140 are 2, 5,4457. Prime factorization of 89140 in exponential form is:

89140 = 22×51×44571

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 89140 and 89144.

LCM(89140,89144) = 23×51×111×10131×44571
LCM(89140,89144) = 1986574040

Factors of 89140

List of positive integer factors of 89140 that divides 89140 without a remainder.

1, 2, 4, 5, 10, 20, 4457, 8914, 17828, 22285, 44570, 89140

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 89140 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 89140 and 89144, than apply into the LCM equation.

GCF(89140,89144) = 4
LCM(89140,89144) = ( 89140 × 89144) / 4
LCM(89140,89144) = 7946296160 / 4
LCM(89140,89144) = 1986574040

Properties of LCM 89140 and 89144

(i) The LCM of 89144 and 89140 is associative

LCM of 89140 and 89144 = LCM of 89144 and 89140

Related Least Common Multiples of 89140

Related Least Common Multiples of 89144

Frequently Asked Questions on LCM of 89140 and 89144

1. What is the LCM of 89140 and 89144?

Answer: LCM of 89140 and 89144 is 1986574040.

2. What are the Factors of 89140?

Answer: Factors of 89140 are 1, 2, 4, 5, 10, 20, 4457, 8914, 17828, 22285, 44570, 89140. There are 12 integers that are factors of 89140. The greatest factor of 89140 is 89140.

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 89140 and 89144?

Answer:

Least Common Multiple of 89140 and 89144 = 1986574040

Step 1: Find the prime factorization of 89140

89140 = 2 x 2 x 5 x 4457

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 = 1986574040 = 2 x 2 x 2 x 5 x 11 x 1013 x 4457

Step 4: Therefore, the least common multiple of 89140 and 89144 is 1986574040.