Least Common Multiple of 321484 and 321492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 321484 and 321492 the smallest integer that is 25838633532 that is divisible by both numbers.

Least Common Multiple (LCM) of 321484 and 321492 is 25838633532.

LCM(321484,321492) = 25838633532

LCM of 321484 and 321492

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

LCM of:
and

Least Common Multiple of 321484 and 321492

LCM of 321484 and 321492 is 25838633532

Least common multiple can be found by multiplying the highest exponent prime factors of 321484 and 321492. First we will calculate the prime factors of 321484 and 321492.

Prime Factorization of 321484


2 321484
2 160742
179 80371
449 449
1

Prime factors of 321484 are 2, 179,449. Prime factorization of 321484 in exponential form is:

321484 = 22×1791×4491

Prime Factorization of 321492


2 321492
2 160746
3 80373
73 26791
367 367
1

Prime factors of 321492 are 2, 3, 73,367. Prime factorization of 321492 in exponential form is:

321492 = 22×31×731×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 321484 and 321492.

LCM(321484,321492) = 22×31×731×1791×3671×4491
LCM(321484,321492) = 25838633532

Factors of 321484

List of positive integer factors of 321484 that divides 321484 without a remainder.

1, 2, 4, 179, 358, 449, 716, 898, 1796, 80371, 160742, 321484

Factors of 321492

List of positive integer factors of 321492 that divides 321492 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 367, 438, 734, 876, 1101, 1468, 2202, 4404, 26791, 53582, 80373, 107164, 160746, 321492

Least Common Multiple of 321484 and 321492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321484 and 321492, than apply into the LCM equation.

GCF(321484,321492) = 4
LCM(321484,321492) = ( 321484 × 321492) / 4
LCM(321484,321492) = 103354534128 / 4
LCM(321484,321492) = 25838633532

Properties of LCM 321484 and 321492

(i) The LCM of 321492 and 321484 is associative

LCM of 321484 and 321492 = LCM of 321492 and 321484

Related Least Common Multiples of 321484

Related Least Common Multiples of 321492

Frequently Asked Questions on LCM of 321484 and 321492

1. What is the LCM of 321484 and 321492?

Answer: LCM of 321484 and 321492 is 25838633532.

2. What are the Factors of 321484?

Answer: Factors of 321484 are 1, 2, 4, 179, 358, 449, 716, 898, 1796, 80371, 160742, 321484. There are 12 integers that are factors of 321484. The greatest factor of 321484 is 321484.

3. What are the Factors of 321492?

Answer: Factors of 321492 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 367, 438, 734, 876, 1101, 1468, 2202, 4404, 26791, 53582, 80373, 107164, 160746, 321492. There are 24 integers that are factors of 321492. The greatest factor of 321492 is 321492.

4. How to Find the LCM of 321484 and 321492?

Answer:

Least Common Multiple of 321484 and 321492 = 25838633532

Step 1: Find the prime factorization of 321484

321484 = 2 x 2 x 179 x 449

Step 2: Find the prime factorization of 321492

321492 = 2 x 2 x 3 x 73 x 367

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

LCM = 25838633532 = 2 x 2 x 3 x 73 x 179 x 367 x 449

Step 4: Therefore, the least common multiple of 321484 and 321492 is 25838633532.