Least Common Multiple of 313404 and 313411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 313404 and 313411 the smallest integer that is 14032037292 that is divisible by both numbers.

Least Common Multiple (LCM) of 313404 and 313411 is 14032037292.

LCM(313404,313411) = 14032037292

LCM of 313404 and 313411

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

LCM of:
and

Least Common Multiple of 313404 and 313411

LCM of 313404 and 313411 is 14032037292

Least common multiple can be found by multiplying the highest exponent prime factors of 313404 and 313411. First we will calculate the prime factors of 313404 and 313411.

Prime Factorization of 313404


2 313404
2 156702
3 78351
7 26117
7 3731
13 533
41 41
1

Prime factors of 313404 are 2, 3, 7, 13,41. Prime factorization of 313404 in exponential form is:

313404 = 22×31×72×131×411

Prime Factorization of 313411


7 313411
44773 44773
1

Prime factors of 313411 are 7,44773. Prime factorization of 313411 in exponential form is:

313411 = 71×447731

Now multiplying the highest exponent prime factors to calculate the LCM of 313404 and 313411.

LCM(313404,313411) = 22×31×72×131×411×447731
LCM(313404,313411) = 14032037292

Factors of 313404

List of positive integer factors of 313404 that divides 313404 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 41, 42, 49, 52, 78, 82, 84, 91, 98, 123, 147, 156, 164, 182, 196, 246, 273, 287, 294, 364, 492, 533, 546, 574, 588, 637, 861, 1066, 1092, 1148, 1274, 1599, 1722, 1911, 2009, 2132, 2548, 3198, 3444, 3731, 3822, 4018, 6027, 6396, 7462, 7644, 8036, 11193, 12054, 14924, 22386, 24108, 26117, 44772, 52234, 78351, 104468, 156702, 313404

Factors of 313411

List of positive integer factors of 313411 that divides 313411 without a remainder.

1, 7, 44773, 313411

Least Common Multiple of 313404 and 313411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313404 and 313411, than apply into the LCM equation.

GCF(313404,313411) = 7
LCM(313404,313411) = ( 313404 × 313411) / 7
LCM(313404,313411) = 98224261044 / 7
LCM(313404,313411) = 14032037292

Properties of LCM 313404 and 313411

(i) The LCM of 313411 and 313404 is associative

LCM of 313404 and 313411 = LCM of 313411 and 313404

Related Least Common Multiples of 313404

Related Least Common Multiples of 313411

Frequently Asked Questions on LCM of 313404 and 313411

1. What is the LCM of 313404 and 313411?

Answer: LCM of 313404 and 313411 is 14032037292.

2. What are the Factors of 313404?

Answer: Factors of 313404 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 41, 42, 49, 52, 78, 82, 84, 91, 98, 123, 147, 156, 164, 182, 196, 246, 273, 287, 294, 364, 492, 533, 546, 574, 588, 637, 861, 1066, 1092, 1148, 1274, 1599, 1722, 1911, 2009, 2132, 2548, 3198, 3444, 3731, 3822, 4018, 6027, 6396, 7462, 7644, 8036, 11193, 12054, 14924, 22386, 24108, 26117, 44772, 52234, 78351, 104468, 156702, 313404. There are 72 integers that are factors of 313404. The greatest factor of 313404 is 313404.

3. What are the Factors of 313411?

Answer: Factors of 313411 are 1, 7, 44773, 313411. There are 4 integers that are factors of 313411. The greatest factor of 313411 is 313411.

4. How to Find the LCM of 313404 and 313411?

Answer:

Least Common Multiple of 313404 and 313411 = 14032037292

Step 1: Find the prime factorization of 313404

313404 = 2 x 2 x 3 x 7 x 7 x 13 x 41

Step 2: Find the prime factorization of 313411

313411 = 7 x 44773

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

LCM = 14032037292 = 2 x 2 x 3 x 7 x 7 x 13 x 41 x 44773

Step 4: Therefore, the least common multiple of 313404 and 313411 is 14032037292.