Least Common Multiple of 2424 and 2429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2424 and 2429 the smallest integer that is 5887896 that is divisible by both numbers.

Least Common Multiple (LCM) of 2424 and 2429 is 5887896.

LCM(2424,2429) = 5887896

LCM of 2424 and 2429

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

LCM of:
and

Least Common Multiple of 2424 and 2429

LCM of 2424 and 2429 is 5887896

Least common multiple can be found by multiplying the highest exponent prime factors of 2424 and 2429. First we will calculate the prime factors of 2424 and 2429.

Prime Factorization of 2424


2 2424
2 1212
2 606
3 303
101 101
1

Prime factors of 2424 are 2, 3,101. Prime factorization of 2424 in exponential form is:

2424 = 23×31×1011

Prime Factorization of 2429


7 2429
347 347
1

Prime factors of 2429 are 7,347. Prime factorization of 2429 in exponential form is:

2429 = 71×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 2424 and 2429.

LCM(2424,2429) = 23×31×71×1011×3471
LCM(2424,2429) = 5887896

Factors of 2424

List of positive integer factors of 2424 that divides 2424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212, 2424

Factors of 2429

List of positive integer factors of 2429 that divides 2429 without a remainder.

1, 7, 347, 2429

Least Common Multiple of 2424 and 2429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2424 and 2429, than apply into the LCM equation.

GCF(2424,2429) = 1
LCM(2424,2429) = ( 2424 × 2429) / 1
LCM(2424,2429) = 5887896 / 1
LCM(2424,2429) = 5887896

Properties of LCM 2424 and 2429

(i) The LCM of 2429 and 2424 is associative

LCM of 2424 and 2429 = LCM of 2429 and 2424

Related Least Common Multiples of 2424

Related Least Common Multiples of 2429

Frequently Asked Questions on LCM of 2424 and 2429

1. What is the LCM of 2424 and 2429?

Answer: LCM of 2424 and 2429 is 5887896.

2. What are the Factors of 2424?

Answer: Factors of 2424 are 1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212, 2424. There are 16 integers that are factors of 2424. The greatest factor of 2424 is 2424.

3. What are the Factors of 2429?

Answer: Factors of 2429 are 1, 7, 347, 2429. There are 4 integers that are factors of 2429. The greatest factor of 2429 is 2429.

4. How to Find the LCM of 2424 and 2429?

Answer:

Least Common Multiple of 2424 and 2429 = 5887896

Step 1: Find the prime factorization of 2424

2424 = 2 x 2 x 2 x 3 x 101

Step 2: Find the prime factorization of 2429

2429 = 7 x 347

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

LCM = 5887896 = 2 x 2 x 2 x 3 x 7 x 101 x 347

Step 4: Therefore, the least common multiple of 2424 and 2429 is 5887896.