Least Common Multiple of 321424 and 321429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 321424 and 321429 the smallest integer that is 103314994896 that is divisible by both numbers.

Least Common Multiple (LCM) of 321424 and 321429 is 103314994896.

LCM(321424,321429) = 103314994896

LCM of 321424 and 321429

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

LCM of:
and

Least Common Multiple of 321424 and 321429

LCM of 321424 and 321429 is 103314994896

Least common multiple can be found by multiplying the highest exponent prime factors of 321424 and 321429. First we will calculate the prime factors of 321424 and 321429.

Prime Factorization of 321424


2 321424
2 160712
2 80356
2 40178
20089 20089
1

Prime factors of 321424 are 2,20089. Prime factorization of 321424 in exponential form is:

321424 = 24×200891

Prime Factorization of 321429


3 321429
307 107143
349 349
1

Prime factors of 321429 are 3, 307,349. Prime factorization of 321429 in exponential form is:

321429 = 31×3071×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 321424 and 321429.

LCM(321424,321429) = 24×31×3071×3491×200891
LCM(321424,321429) = 103314994896

Factors of 321424

List of positive integer factors of 321424 that divides 321424 without a remainder.

1, 2, 4, 8, 16, 20089, 40178, 80356, 160712, 321424

Factors of 321429

List of positive integer factors of 321429 that divides 321429 without a remainder.

1, 3, 307, 349, 921, 1047, 107143, 321429

Least Common Multiple of 321424 and 321429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321424 and 321429, than apply into the LCM equation.

GCF(321424,321429) = 1
LCM(321424,321429) = ( 321424 × 321429) / 1
LCM(321424,321429) = 103314994896 / 1
LCM(321424,321429) = 103314994896

Properties of LCM 321424 and 321429

(i) The LCM of 321429 and 321424 is associative

LCM of 321424 and 321429 = LCM of 321429 and 321424

Related Least Common Multiples of 321424

Related Least Common Multiples of 321429

Frequently Asked Questions on LCM of 321424 and 321429

1. What is the LCM of 321424 and 321429?

Answer: LCM of 321424 and 321429 is 103314994896.

2. What are the Factors of 321424?

Answer: Factors of 321424 are 1, 2, 4, 8, 16, 20089, 40178, 80356, 160712, 321424. There are 10 integers that are factors of 321424. The greatest factor of 321424 is 321424.

3. What are the Factors of 321429?

Answer: Factors of 321429 are 1, 3, 307, 349, 921, 1047, 107143, 321429. There are 8 integers that are factors of 321429. The greatest factor of 321429 is 321429.

4. How to Find the LCM of 321424 and 321429?

Answer:

Least Common Multiple of 321424 and 321429 = 103314994896

Step 1: Find the prime factorization of 321424

321424 = 2 x 2 x 2 x 2 x 20089

Step 2: Find the prime factorization of 321429

321429 = 3 x 307 x 349

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

LCM = 103314994896 = 2 x 2 x 2 x 2 x 3 x 307 x 349 x 20089

Step 4: Therefore, the least common multiple of 321424 and 321429 is 103314994896.