Least Common Multiple of 12435 and 12443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12435 and 12443 the smallest integer that is 154728705 that is divisible by both numbers.

Least Common Multiple (LCM) of 12435 and 12443 is 154728705.

LCM(12435,12443) = 154728705

LCM of 12435 and 12443

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

LCM of:
and

Least Common Multiple of 12435 and 12443

LCM of 12435 and 12443 is 154728705

Least common multiple can be found by multiplying the highest exponent prime factors of 12435 and 12443. First we will calculate the prime factors of 12435 and 12443.

Prime Factorization of 12435


3 12435
5 4145
829 829
1

Prime factors of 12435 are 3, 5,829. Prime factorization of 12435 in exponential form is:

12435 = 31×51×8291

Prime Factorization of 12443


23 12443
541 541
1

Prime factors of 12443 are 23,541. Prime factorization of 12443 in exponential form is:

12443 = 231×5411

Now multiplying the highest exponent prime factors to calculate the LCM of 12435 and 12443.

LCM(12435,12443) = 31×51×231×5411×8291
LCM(12435,12443) = 154728705

Factors of 12435

List of positive integer factors of 12435 that divides 12435 without a remainder.

1, 3, 5, 15, 829, 2487, 4145, 12435

Factors of 12443

List of positive integer factors of 12443 that divides 12443 without a remainder.

1, 23, 541, 12443

Least Common Multiple of 12435 and 12443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12435 and 12443, than apply into the LCM equation.

GCF(12435,12443) = 1
LCM(12435,12443) = ( 12435 × 12443) / 1
LCM(12435,12443) = 154728705 / 1
LCM(12435,12443) = 154728705

Properties of LCM 12435 and 12443

(i) The LCM of 12443 and 12435 is associative

LCM of 12435 and 12443 = LCM of 12443 and 12435

Related Least Common Multiples of 12435

Related Least Common Multiples of 12443

Frequently Asked Questions on LCM of 12435 and 12443

1. What is the LCM of 12435 and 12443?

Answer: LCM of 12435 and 12443 is 154728705.

2. What are the Factors of 12435?

Answer: Factors of 12435 are 1, 3, 5, 15, 829, 2487, 4145, 12435. There are 8 integers that are factors of 12435. The greatest factor of 12435 is 12435.

3. What are the Factors of 12443?

Answer: Factors of 12443 are 1, 23, 541, 12443. There are 4 integers that are factors of 12443. The greatest factor of 12443 is 12443.

4. How to Find the LCM of 12435 and 12443?

Answer:

Least Common Multiple of 12435 and 12443 = 154728705

Step 1: Find the prime factorization of 12435

12435 = 3 x 5 x 829

Step 2: Find the prime factorization of 12443

12443 = 23 x 541

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

LCM = 154728705 = 3 x 5 x 23 x 541 x 829

Step 4: Therefore, the least common multiple of 12435 and 12443 is 154728705.