Least Common Multiple of 12430 and 12431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12430 and 12431 the smallest integer that is 154517330 that is divisible by both numbers.

Least Common Multiple (LCM) of 12430 and 12431 is 154517330.

LCM(12430,12431) = 154517330

LCM of 12430 and 12431

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

LCM of:
and

Least Common Multiple of 12430 and 12431

LCM of 12430 and 12431 is 154517330

Least common multiple can be found by multiplying the highest exponent prime factors of 12430 and 12431. First we will calculate the prime factors of 12430 and 12431.

Prime Factorization of 12430


2 12430
5 6215
11 1243
113 113
1

Prime factors of 12430 are 2, 5, 11,113. Prime factorization of 12430 in exponential form is:

12430 = 21×51×111×1131

Prime Factorization of 12431


31 12431
401 401
1

Prime factors of 12431 are 31,401. Prime factorization of 12431 in exponential form is:

12431 = 311×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 12430 and 12431.

LCM(12430,12431) = 21×51×111×311×1131×4011
LCM(12430,12431) = 154517330

Factors of 12430

List of positive integer factors of 12430 that divides 12430 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 113, 226, 565, 1130, 1243, 2486, 6215, 12430

Factors of 12431

List of positive integer factors of 12431 that divides 12431 without a remainder.

1, 31, 401, 12431

Least Common Multiple of 12430 and 12431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12430 and 12431, than apply into the LCM equation.

GCF(12430,12431) = 1
LCM(12430,12431) = ( 12430 × 12431) / 1
LCM(12430,12431) = 154517330 / 1
LCM(12430,12431) = 154517330

Properties of LCM 12430 and 12431

(i) The LCM of 12431 and 12430 is associative

LCM of 12430 and 12431 = LCM of 12431 and 12430

Related Least Common Multiples of 12430

Related Least Common Multiples of 12431

Frequently Asked Questions on LCM of 12430 and 12431

1. What is the LCM of 12430 and 12431?

Answer: LCM of 12430 and 12431 is 154517330.

2. What are the Factors of 12430?

Answer: Factors of 12430 are 1, 2, 5, 10, 11, 22, 55, 110, 113, 226, 565, 1130, 1243, 2486, 6215, 12430. There are 16 integers that are factors of 12430. The greatest factor of 12430 is 12430.

3. What are the Factors of 12431?

Answer: Factors of 12431 are 1, 31, 401, 12431. There are 4 integers that are factors of 12431. The greatest factor of 12431 is 12431.

4. How to Find the LCM of 12430 and 12431?

Answer:

Least Common Multiple of 12430 and 12431 = 154517330

Step 1: Find the prime factorization of 12430

12430 = 2 x 5 x 11 x 113

Step 2: Find the prime factorization of 12431

12431 = 31 x 401

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

LCM = 154517330 = 2 x 5 x 11 x 31 x 113 x 401

Step 4: Therefore, the least common multiple of 12430 and 12431 is 154517330.