Least Common Multiple of 10441 and 10446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10441 and 10446 the smallest integer that is 109066686 that is divisible by both numbers.

Least Common Multiple (LCM) of 10441 and 10446 is 109066686.

LCM(10441,10446) = 109066686

LCM of 10441 and 10446

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

LCM of:
and

Least Common Multiple of 10441 and 10446

LCM of 10441 and 10446 is 109066686

Least common multiple can be found by multiplying the highest exponent prime factors of 10441 and 10446. First we will calculate the prime factors of 10441 and 10446.

Prime Factorization of 10441


53 10441
197 197
1

Prime factors of 10441 are 53,197. Prime factorization of 10441 in exponential form is:

10441 = 531×1971

Prime Factorization of 10446


2 10446
3 5223
1741 1741
1

Prime factors of 10446 are 2, 3,1741. Prime factorization of 10446 in exponential form is:

10446 = 21×31×17411

Now multiplying the highest exponent prime factors to calculate the LCM of 10441 and 10446.

LCM(10441,10446) = 21×31×531×1971×17411
LCM(10441,10446) = 109066686

Factors of 10441

List of positive integer factors of 10441 that divides 10441 without a remainder.

1, 53, 197, 10441

Factors of 10446

List of positive integer factors of 10446 that divides 10446 without a remainder.

1, 2, 3, 6, 1741, 3482, 5223, 10446

Least Common Multiple of 10441 and 10446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10441 and 10446, than apply into the LCM equation.

GCF(10441,10446) = 1
LCM(10441,10446) = ( 10441 × 10446) / 1
LCM(10441,10446) = 109066686 / 1
LCM(10441,10446) = 109066686

Properties of LCM 10441 and 10446

(i) The LCM of 10446 and 10441 is associative

LCM of 10441 and 10446 = LCM of 10446 and 10441

Related Least Common Multiples of 10441

Related Least Common Multiples of 10446

Frequently Asked Questions on LCM of 10441 and 10446

1. What is the LCM of 10441 and 10446?

Answer: LCM of 10441 and 10446 is 109066686.

2. What are the Factors of 10441?

Answer: Factors of 10441 are 1, 53, 197, 10441. There are 4 integers that are factors of 10441. The greatest factor of 10441 is 10441.

3. What are the Factors of 10446?

Answer: Factors of 10446 are 1, 2, 3, 6, 1741, 3482, 5223, 10446. There are 8 integers that are factors of 10446. The greatest factor of 10446 is 10446.

4. How to Find the LCM of 10441 and 10446?

Answer:

Least Common Multiple of 10441 and 10446 = 109066686

Step 1: Find the prime factorization of 10441

10441 = 53 x 197

Step 2: Find the prime factorization of 10446

10446 = 2 x 3 x 1741

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

LCM = 109066686 = 2 x 3 x 53 x 197 x 1741

Step 4: Therefore, the least common multiple of 10441 and 10446 is 109066686.