Least Common Multiple of 307411 and 307416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307411 and 307416 the smallest integer that is 94503059976 that is divisible by both numbers.

Least Common Multiple (LCM) of 307411 and 307416 is 94503059976.

LCM(307411,307416) = 94503059976

LCM of 307411 and 307416

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

LCM of:
and

Least Common Multiple of 307411 and 307416

LCM of 307411 and 307416 is 94503059976

Least common multiple can be found by multiplying the highest exponent prime factors of 307411 and 307416. First we will calculate the prime factors of 307411 and 307416.

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

Prime Factorization of 307416


2 307416
2 153708
2 76854
3 38427
12809 12809
1

Prime factors of 307416 are 2, 3,12809. Prime factorization of 307416 in exponential form is:

307416 = 23×31×128091

Now multiplying the highest exponent prime factors to calculate the LCM of 307411 and 307416.

LCM(307411,307416) = 23×31×132×171×1071×128091
LCM(307411,307416) = 94503059976

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

Factors of 307416

List of positive integer factors of 307416 that divides 307416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 12809, 25618, 38427, 51236, 76854, 102472, 153708, 307416

Least Common Multiple of 307411 and 307416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307411 and 307416, than apply into the LCM equation.

GCF(307411,307416) = 1
LCM(307411,307416) = ( 307411 × 307416) / 1
LCM(307411,307416) = 94503059976 / 1
LCM(307411,307416) = 94503059976

Properties of LCM 307411 and 307416

(i) The LCM of 307416 and 307411 is associative

LCM of 307411 and 307416 = LCM of 307416 and 307411

Related Least Common Multiples of 307411

Related Least Common Multiples of 307416

Frequently Asked Questions on LCM of 307411 and 307416

1. What is the LCM of 307411 and 307416?

Answer: LCM of 307411 and 307416 is 94503059976.

2. 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.

3. What are the Factors of 307416?

Answer: Factors of 307416 are 1, 2, 3, 4, 6, 8, 12, 24, 12809, 25618, 38427, 51236, 76854, 102472, 153708, 307416. There are 16 integers that are factors of 307416. The greatest factor of 307416 is 307416.

4. How to Find the LCM of 307411 and 307416?

Answer:

Least Common Multiple of 307411 and 307416 = 94503059976

Step 1: Find the prime factorization of 307411

307411 = 13 x 13 x 17 x 107

Step 2: Find the prime factorization of 307416

307416 = 2 x 2 x 2 x 3 x 12809

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

LCM = 94503059976 = 2 x 2 x 2 x 3 x 13 x 13 x 17 x 107 x 12809

Step 4: Therefore, the least common multiple of 307411 and 307416 is 94503059976.