Least Common Multiple of 321434 and 321438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 321434 and 321438 the smallest integer that is 51660551046 that is divisible by both numbers.

Least Common Multiple (LCM) of 321434 and 321438 is 51660551046.

LCM(321434,321438) = 51660551046

LCM of 321434 and 321438

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

LCM of:
and

Least Common Multiple of 321434 and 321438

LCM of 321434 and 321438 is 51660551046

Least common multiple can be found by multiplying the highest exponent prime factors of 321434 and 321438. First we will calculate the prime factors of 321434 and 321438.

Prime Factorization of 321434


2 321434
173 160717
929 929
1

Prime factors of 321434 are 2, 173,929. Prime factorization of 321434 in exponential form is:

321434 = 21×1731×9291

Prime Factorization of 321438


2 321438
3 160719
13 53573
13 4121
317 317
1

Prime factors of 321438 are 2, 3, 13,317. Prime factorization of 321438 in exponential form is:

321438 = 21×31×132×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 321434 and 321438.

LCM(321434,321438) = 21×31×132×1731×3171×9291
LCM(321434,321438) = 51660551046

Factors of 321434

List of positive integer factors of 321434 that divides 321434 without a remainder.

1, 2, 173, 346, 929, 1858, 160717, 321434

Factors of 321438

List of positive integer factors of 321438 that divides 321438 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 169, 317, 338, 507, 634, 951, 1014, 1902, 4121, 8242, 12363, 24726, 53573, 107146, 160719, 321438

Least Common Multiple of 321434 and 321438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321434 and 321438, than apply into the LCM equation.

GCF(321434,321438) = 2
LCM(321434,321438) = ( 321434 × 321438) / 2
LCM(321434,321438) = 103321102092 / 2
LCM(321434,321438) = 51660551046

Properties of LCM 321434 and 321438

(i) The LCM of 321438 and 321434 is associative

LCM of 321434 and 321438 = LCM of 321438 and 321434

Related Least Common Multiples of 321434

Related Least Common Multiples of 321438

Frequently Asked Questions on LCM of 321434 and 321438

1. What is the LCM of 321434 and 321438?

Answer: LCM of 321434 and 321438 is 51660551046.

2. What are the Factors of 321434?

Answer: Factors of 321434 are 1, 2, 173, 346, 929, 1858, 160717, 321434. There are 8 integers that are factors of 321434. The greatest factor of 321434 is 321434.

3. What are the Factors of 321438?

Answer: Factors of 321438 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 317, 338, 507, 634, 951, 1014, 1902, 4121, 8242, 12363, 24726, 53573, 107146, 160719, 321438. There are 24 integers that are factors of 321438. The greatest factor of 321438 is 321438.

4. How to Find the LCM of 321434 and 321438?

Answer:

Least Common Multiple of 321434 and 321438 = 51660551046

Step 1: Find the prime factorization of 321434

321434 = 2 x 173 x 929

Step 2: Find the prime factorization of 321438

321438 = 2 x 3 x 13 x 13 x 317

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

LCM = 51660551046 = 2 x 3 x 13 x 13 x 173 x 317 x 929

Step 4: Therefore, the least common multiple of 321434 and 321438 is 51660551046.