Least Common Multiple of 311404 and 311408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311404 and 311408 the smallest integer that is 24243424208 that is divisible by both numbers.

Least Common Multiple (LCM) of 311404 and 311408 is 24243424208.

LCM(311404,311408) = 24243424208

LCM of 311404 and 311408

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

LCM of:
and

Least Common Multiple of 311404 and 311408

LCM of 311404 and 311408 is 24243424208

Least common multiple can be found by multiplying the highest exponent prime factors of 311404 and 311408. First we will calculate the prime factors of 311404 and 311408.

Prime Factorization of 311404


2 311404
2 155702
127 77851
613 613
1

Prime factors of 311404 are 2, 127,613. Prime factorization of 311404 in exponential form is:

311404 = 22×1271×6131

Prime Factorization of 311408


2 311408
2 155704
2 77852
2 38926
19463 19463
1

Prime factors of 311408 are 2,19463. Prime factorization of 311408 in exponential form is:

311408 = 24×194631

Now multiplying the highest exponent prime factors to calculate the LCM of 311404 and 311408.

LCM(311404,311408) = 24×1271×6131×194631
LCM(311404,311408) = 24243424208

Factors of 311404

List of positive integer factors of 311404 that divides 311404 without a remainder.

1, 2, 4, 127, 254, 508, 613, 1226, 2452, 77851, 155702, 311404

Factors of 311408

List of positive integer factors of 311408 that divides 311408 without a remainder.

1, 2, 4, 8, 16, 19463, 38926, 77852, 155704, 311408

Least Common Multiple of 311404 and 311408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311404 and 311408, than apply into the LCM equation.

GCF(311404,311408) = 4
LCM(311404,311408) = ( 311404 × 311408) / 4
LCM(311404,311408) = 96973696832 / 4
LCM(311404,311408) = 24243424208

Properties of LCM 311404 and 311408

(i) The LCM of 311408 and 311404 is associative

LCM of 311404 and 311408 = LCM of 311408 and 311404

Related Least Common Multiples of 311404

Related Least Common Multiples of 311408

Frequently Asked Questions on LCM of 311404 and 311408

1. What is the LCM of 311404 and 311408?

Answer: LCM of 311404 and 311408 is 24243424208.

2. What are the Factors of 311404?

Answer: Factors of 311404 are 1, 2, 4, 127, 254, 508, 613, 1226, 2452, 77851, 155702, 311404. There are 12 integers that are factors of 311404. The greatest factor of 311404 is 311404.

3. What are the Factors of 311408?

Answer: Factors of 311408 are 1, 2, 4, 8, 16, 19463, 38926, 77852, 155704, 311408. There are 10 integers that are factors of 311408. The greatest factor of 311408 is 311408.

4. How to Find the LCM of 311404 and 311408?

Answer:

Least Common Multiple of 311404 and 311408 = 24243424208

Step 1: Find the prime factorization of 311404

311404 = 2 x 2 x 127 x 613

Step 2: Find the prime factorization of 311408

311408 = 2 x 2 x 2 x 2 x 19463

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

LCM = 24243424208 = 2 x 2 x 2 x 2 x 127 x 613 x 19463

Step 4: Therefore, the least common multiple of 311404 and 311408 is 24243424208.