Least Common Multiple of 314438 and 314446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 314438 and 314446 the smallest integer that is 49436885674 that is divisible by both numbers.

Least Common Multiple (LCM) of 314438 and 314446 is 49436885674.

LCM(314438,314446) = 49436885674

LCM of 314438 and 314446

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

LCM of:
and

Least Common Multiple of 314438 and 314446

LCM of 314438 and 314446 is 49436885674

Least common multiple can be found by multiplying the highest exponent prime factors of 314438 and 314446. First we will calculate the prime factors of 314438 and 314446.

Prime Factorization of 314438


2 314438
157219 157219
1

Prime factors of 314438 are 2,157219. Prime factorization of 314438 in exponential form is:

314438 = 21×1572191

Prime Factorization of 314446


2 314446
11 157223
14293 14293
1

Prime factors of 314446 are 2, 11,14293. Prime factorization of 314446 in exponential form is:

314446 = 21×111×142931

Now multiplying the highest exponent prime factors to calculate the LCM of 314438 and 314446.

LCM(314438,314446) = 21×111×142931×1572191
LCM(314438,314446) = 49436885674

Factors of 314438

List of positive integer factors of 314438 that divides 314438 without a remainder.

1, 2, 157219, 314438

Factors of 314446

List of positive integer factors of 314446 that divides 314446 without a remainder.

1, 2, 11, 22, 14293, 28586, 157223, 314446

Least Common Multiple of 314438 and 314446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 314438 and 314446, than apply into the LCM equation.

GCF(314438,314446) = 2
LCM(314438,314446) = ( 314438 × 314446) / 2
LCM(314438,314446) = 98873771348 / 2
LCM(314438,314446) = 49436885674

Properties of LCM 314438 and 314446

(i) The LCM of 314446 and 314438 is associative

LCM of 314438 and 314446 = LCM of 314446 and 314438

Related Least Common Multiples of 314438

Related Least Common Multiples of 314446

Frequently Asked Questions on LCM of 314438 and 314446

1. What is the LCM of 314438 and 314446?

Answer: LCM of 314438 and 314446 is 49436885674.

2. What are the Factors of 314438?

Answer: Factors of 314438 are 1, 2, 157219, 314438. There are 4 integers that are factors of 314438. The greatest factor of 314438 is 314438.

3. What are the Factors of 314446?

Answer: Factors of 314446 are 1, 2, 11, 22, 14293, 28586, 157223, 314446. There are 8 integers that are factors of 314446. The greatest factor of 314446 is 314446.

4. How to Find the LCM of 314438 and 314446?

Answer:

Least Common Multiple of 314438 and 314446 = 49436885674

Step 1: Find the prime factorization of 314438

314438 = 2 x 157219

Step 2: Find the prime factorization of 314446

314446 = 2 x 11 x 14293

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

LCM = 49436885674 = 2 x 11 x 14293 x 157219

Step 4: Therefore, the least common multiple of 314438 and 314446 is 49436885674.