Least Common Multiple of 321460 and 321468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 321460 and 321468 the smallest integer that is 25834775820 that is divisible by both numbers.

Least Common Multiple (LCM) of 321460 and 321468 is 25834775820.

LCM(321460,321468) = 25834775820

LCM of 321460 and 321468

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

LCM of:
and

Least Common Multiple of 321460 and 321468

LCM of 321460 and 321468 is 25834775820

Least common multiple can be found by multiplying the highest exponent prime factors of 321460 and 321468. First we will calculate the prime factors of 321460 and 321468.

Prime Factorization of 321460


2 321460
2 160730
5 80365
16073 16073
1

Prime factors of 321460 are 2, 5,16073. Prime factorization of 321460 in exponential form is:

321460 = 22×51×160731

Prime Factorization of 321468


2 321468
2 160734
3 80367
7 26789
43 3827
89 89
1

Prime factors of 321468 are 2, 3, 7, 43,89. Prime factorization of 321468 in exponential form is:

321468 = 22×31×71×431×891

Now multiplying the highest exponent prime factors to calculate the LCM of 321460 and 321468.

LCM(321460,321468) = 22×31×51×71×431×891×160731
LCM(321460,321468) = 25834775820

Factors of 321460

List of positive integer factors of 321460 that divides 321460 without a remainder.

1, 2, 4, 5, 10, 20, 16073, 32146, 64292, 80365, 160730, 321460

Factors of 321468

List of positive integer factors of 321468 that divides 321468 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 89, 129, 172, 178, 258, 267, 301, 356, 516, 534, 602, 623, 903, 1068, 1204, 1246, 1806, 1869, 2492, 3612, 3738, 3827, 7476, 7654, 11481, 15308, 22962, 26789, 45924, 53578, 80367, 107156, 160734, 321468

Least Common Multiple of 321460 and 321468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321460 and 321468, than apply into the LCM equation.

GCF(321460,321468) = 4
LCM(321460,321468) = ( 321460 × 321468) / 4
LCM(321460,321468) = 103339103280 / 4
LCM(321460,321468) = 25834775820

Properties of LCM 321460 and 321468

(i) The LCM of 321468 and 321460 is associative

LCM of 321460 and 321468 = LCM of 321468 and 321460

Related Least Common Multiples of 321460

Related Least Common Multiples of 321468

Frequently Asked Questions on LCM of 321460 and 321468

1. What is the LCM of 321460 and 321468?

Answer: LCM of 321460 and 321468 is 25834775820.

2. What are the Factors of 321460?

Answer: Factors of 321460 are 1, 2, 4, 5, 10, 20, 16073, 32146, 64292, 80365, 160730, 321460. There are 12 integers that are factors of 321460. The greatest factor of 321460 is 321460.

3. What are the Factors of 321468?

Answer: Factors of 321468 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 89, 129, 172, 178, 258, 267, 301, 356, 516, 534, 602, 623, 903, 1068, 1204, 1246, 1806, 1869, 2492, 3612, 3738, 3827, 7476, 7654, 11481, 15308, 22962, 26789, 45924, 53578, 80367, 107156, 160734, 321468. There are 48 integers that are factors of 321468. The greatest factor of 321468 is 321468.

4. How to Find the LCM of 321460 and 321468?

Answer:

Least Common Multiple of 321460 and 321468 = 25834775820

Step 1: Find the prime factorization of 321460

321460 = 2 x 2 x 5 x 16073

Step 2: Find the prime factorization of 321468

321468 = 2 x 2 x 3 x 7 x 43 x 89

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

LCM = 25834775820 = 2 x 2 x 3 x 5 x 7 x 43 x 89 x 16073

Step 4: Therefore, the least common multiple of 321460 and 321468 is 25834775820.