Least Common Multiple of 316438 and 316446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 316438 and 316446 the smallest integer that is 50067769674 that is divisible by both numbers.

Least Common Multiple (LCM) of 316438 and 316446 is 50067769674.

LCM(316438,316446) = 50067769674

LCM of 316438 and 316446

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

LCM of:
and

Least Common Multiple of 316438 and 316446

LCM of 316438 and 316446 is 50067769674

Least common multiple can be found by multiplying the highest exponent prime factors of 316438 and 316446. First we will calculate the prime factors of 316438 and 316446.

Prime Factorization of 316438


2 316438
17 158219
41 9307
227 227
1

Prime factors of 316438 are 2, 17, 41,227. Prime factorization of 316438 in exponential form is:

316438 = 21×171×411×2271

Prime Factorization of 316446


2 316446
3 158223
13 52741
4057 4057
1

Prime factors of 316446 are 2, 3, 13,4057. Prime factorization of 316446 in exponential form is:

316446 = 21×31×131×40571

Now multiplying the highest exponent prime factors to calculate the LCM of 316438 and 316446.

LCM(316438,316446) = 21×31×131×171×411×2271×40571
LCM(316438,316446) = 50067769674

Factors of 316438

List of positive integer factors of 316438 that divides 316438 without a remainder.

1, 2, 17, 34, 41, 82, 227, 454, 697, 1394, 3859, 7718, 9307, 18614, 158219, 316438

Factors of 316446

List of positive integer factors of 316446 that divides 316446 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 4057, 8114, 12171, 24342, 52741, 105482, 158223, 316446

Least Common Multiple of 316438 and 316446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 316438 and 316446, than apply into the LCM equation.

GCF(316438,316446) = 2
LCM(316438,316446) = ( 316438 × 316446) / 2
LCM(316438,316446) = 100135539348 / 2
LCM(316438,316446) = 50067769674

Properties of LCM 316438 and 316446

(i) The LCM of 316446 and 316438 is associative

LCM of 316438 and 316446 = LCM of 316446 and 316438

Related Least Common Multiples of 316438

Related Least Common Multiples of 316446

Frequently Asked Questions on LCM of 316438 and 316446

1. What is the LCM of 316438 and 316446?

Answer: LCM of 316438 and 316446 is 50067769674.

2. What are the Factors of 316438?

Answer: Factors of 316438 are 1, 2, 17, 34, 41, 82, 227, 454, 697, 1394, 3859, 7718, 9307, 18614, 158219, 316438. There are 16 integers that are factors of 316438. The greatest factor of 316438 is 316438.

3. What are the Factors of 316446?

Answer: Factors of 316446 are 1, 2, 3, 6, 13, 26, 39, 78, 4057, 8114, 12171, 24342, 52741, 105482, 158223, 316446. There are 16 integers that are factors of 316446. The greatest factor of 316446 is 316446.

4. How to Find the LCM of 316438 and 316446?

Answer:

Least Common Multiple of 316438 and 316446 = 50067769674

Step 1: Find the prime factorization of 316438

316438 = 2 x 17 x 41 x 227

Step 2: Find the prime factorization of 316446

316446 = 2 x 3 x 13 x 4057

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

LCM = 50067769674 = 2 x 3 x 13 x 17 x 41 x 227 x 4057

Step 4: Therefore, the least common multiple of 316438 and 316446 is 50067769674.