Least Common Multiple of 43061 and 43065

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 43061 and 43065 the smallest integer that is 1854421965 that is divisible by both numbers.

Least Common Multiple (LCM) of 43061 and 43065 is 1854421965.

LCM(43061,43065) = 1854421965

LCM of 43061 and 43065

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

LCM of:
and

Least Common Multiple of 43061 and 43065

LCM of 43061 and 43065 is 1854421965

Least common multiple can be found by multiplying the highest exponent prime factors of 43061 and 43065. First we will calculate the prime factors of 43061 and 43065.

Prime Factorization of 43061


17 43061
17 2533
149 149
1

Prime factors of 43061 are 17,149. Prime factorization of 43061 in exponential form is:

43061 = 172×1491

Prime Factorization of 43065


3 43065
3 14355
3 4785
5 1595
11 319
29 29
1

Prime factors of 43065 are 3, 5, 11,29. Prime factorization of 43065 in exponential form is:

43065 = 33×51×111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 43061 and 43065.

LCM(43061,43065) = 33×51×111×172×291×1491
LCM(43061,43065) = 1854421965

Factors of 43061

List of positive integer factors of 43061 that divides 43061 without a remainder.

1, 17, 149, 289, 2533, 43061

Factors of 43065

List of positive integer factors of 43065 that divides 43065 without a remainder.

1, 3, 5, 9, 11, 15, 27, 29, 33, 45, 55, 87, 99, 135, 145, 165, 261, 297, 319, 435, 495, 783, 957, 1305, 1485, 1595, 2871, 3915, 4785, 8613, 14355, 43065

Least Common Multiple of 43061 and 43065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43061 and 43065, than apply into the LCM equation.

GCF(43061,43065) = 1
LCM(43061,43065) = ( 43061 × 43065) / 1
LCM(43061,43065) = 1854421965 / 1
LCM(43061,43065) = 1854421965

Properties of LCM 43061 and 43065

(i) The LCM of 43065 and 43061 is associative

LCM of 43061 and 43065 = LCM of 43065 and 43061

Related Least Common Multiples of 43061

Related Least Common Multiples of 43065

Frequently Asked Questions on LCM of 43061 and 43065

1. What is the LCM of 43061 and 43065?

Answer: LCM of 43061 and 43065 is 1854421965.

2. What are the Factors of 43061?

Answer: Factors of 43061 are 1, 17, 149, 289, 2533, 43061. There are 6 integers that are factors of 43061. The greatest factor of 43061 is 43061.

3. What are the Factors of 43065?

Answer: Factors of 43065 are 1, 3, 5, 9, 11, 15, 27, 29, 33, 45, 55, 87, 99, 135, 145, 165, 261, 297, 319, 435, 495, 783, 957, 1305, 1485, 1595, 2871, 3915, 4785, 8613, 14355, 43065. There are 32 integers that are factors of 43065. The greatest factor of 43065 is 43065.

4. How to Find the LCM of 43061 and 43065?

Answer:

Least Common Multiple of 43061 and 43065 = 1854421965

Step 1: Find the prime factorization of 43061

43061 = 17 x 17 x 149

Step 2: Find the prime factorization of 43065

43065 = 3 x 3 x 3 x 5 x 11 x 29

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

LCM = 1854421965 = 3 x 3 x 3 x 5 x 11 x 17 x 17 x 29 x 149

Step 4: Therefore, the least common multiple of 43061 and 43065 is 1854421965.