Least Common Multiple of 307404 and 307411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307404 and 307411 the smallest integer that is 94499371044 that is divisible by both numbers.

Least Common Multiple (LCM) of 307404 and 307411 is 94499371044.

LCM(307404,307411) = 94499371044

LCM of 307404 and 307411

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

LCM of:
and

Least Common Multiple of 307404 and 307411

LCM of 307404 and 307411 is 94499371044

Least common multiple can be found by multiplying the highest exponent prime factors of 307404 and 307411. First we will calculate the prime factors of 307404 and 307411.

Prime Factorization of 307404


2 307404
2 153702
3 76851
3 25617
8539 8539
1

Prime factors of 307404 are 2, 3,8539. Prime factorization of 307404 in exponential form is:

307404 = 22×32×85391

Prime Factorization of 307411


13 307411
13 23647
17 1819
107 107
1

Prime factors of 307411 are 13, 17,107. Prime factorization of 307411 in exponential form is:

307411 = 132×171×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 307404 and 307411.

LCM(307404,307411) = 22×32×132×171×1071×85391
LCM(307404,307411) = 94499371044

Factors of 307404

List of positive integer factors of 307404 that divides 307404 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 8539, 17078, 25617, 34156, 51234, 76851, 102468, 153702, 307404

Factors of 307411

List of positive integer factors of 307411 that divides 307411 without a remainder.

1, 13, 17, 107, 169, 221, 1391, 1819, 2873, 18083, 23647, 307411

Least Common Multiple of 307404 and 307411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307404 and 307411, than apply into the LCM equation.

GCF(307404,307411) = 1
LCM(307404,307411) = ( 307404 × 307411) / 1
LCM(307404,307411) = 94499371044 / 1
LCM(307404,307411) = 94499371044

Properties of LCM 307404 and 307411

(i) The LCM of 307411 and 307404 is associative

LCM of 307404 and 307411 = LCM of 307411 and 307404

Related Least Common Multiples of 307404

Related Least Common Multiples of 307411

Frequently Asked Questions on LCM of 307404 and 307411

1. What is the LCM of 307404 and 307411?

Answer: LCM of 307404 and 307411 is 94499371044.

2. What are the Factors of 307404?

Answer: Factors of 307404 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 8539, 17078, 25617, 34156, 51234, 76851, 102468, 153702, 307404. There are 18 integers that are factors of 307404. The greatest factor of 307404 is 307404.

3. What are the Factors of 307411?

Answer: Factors of 307411 are 1, 13, 17, 107, 169, 221, 1391, 1819, 2873, 18083, 23647, 307411. There are 12 integers that are factors of 307411. The greatest factor of 307411 is 307411.

4. How to Find the LCM of 307404 and 307411?

Answer:

Least Common Multiple of 307404 and 307411 = 94499371044

Step 1: Find the prime factorization of 307404

307404 = 2 x 2 x 3 x 3 x 8539

Step 2: Find the prime factorization of 307411

307411 = 13 x 13 x 17 x 107

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

LCM = 94499371044 = 2 x 2 x 3 x 3 x 13 x 13 x 17 x 107 x 8539

Step 4: Therefore, the least common multiple of 307404 and 307411 is 94499371044.