Least Common Multiple of 321468 and 321476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 321468 and 321476 the smallest integer that is 25836061692 that is divisible by both numbers.

Least Common Multiple (LCM) of 321468 and 321476 is 25836061692.

LCM(321468,321476) = 25836061692

LCM of 321468 and 321476

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

LCM of:
and

Least Common Multiple of 321468 and 321476

LCM of 321468 and 321476 is 25836061692

Least common multiple can be found by multiplying the highest exponent prime factors of 321468 and 321476. First we will calculate the prime factors of 321468 and 321476.

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

Prime Factorization of 321476


2 321476
2 160738
80369 80369
1

Prime factors of 321476 are 2,80369. Prime factorization of 321476 in exponential form is:

321476 = 22×803691

Now multiplying the highest exponent prime factors to calculate the LCM of 321468 and 321476.

LCM(321468,321476) = 22×31×71×431×891×803691
LCM(321468,321476) = 25836061692

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

Factors of 321476

List of positive integer factors of 321476 that divides 321476 without a remainder.

1, 2, 4, 80369, 160738, 321476

Least Common Multiple of 321468 and 321476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321468 and 321476, than apply into the LCM equation.

GCF(321468,321476) = 4
LCM(321468,321476) = ( 321468 × 321476) / 4
LCM(321468,321476) = 103344246768 / 4
LCM(321468,321476) = 25836061692

Properties of LCM 321468 and 321476

(i) The LCM of 321476 and 321468 is associative

LCM of 321468 and 321476 = LCM of 321476 and 321468

Related Least Common Multiples of 321468

Related Least Common Multiples of 321476

Frequently Asked Questions on LCM of 321468 and 321476

1. What is the LCM of 321468 and 321476?

Answer: LCM of 321468 and 321476 is 25836061692.

2. 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.

3. What are the Factors of 321476?

Answer: Factors of 321476 are 1, 2, 4, 80369, 160738, 321476. There are 6 integers that are factors of 321476. The greatest factor of 321476 is 321476.

4. How to Find the LCM of 321468 and 321476?

Answer:

Least Common Multiple of 321468 and 321476 = 25836061692

Step 1: Find the prime factorization of 321468

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

Step 2: Find the prime factorization of 321476

321476 = 2 x 2 x 80369

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

LCM = 25836061692 = 2 x 2 x 3 x 7 x 43 x 89 x 80369

Step 4: Therefore, the least common multiple of 321468 and 321476 is 25836061692.