Least Common Multiple of 310436 and 310442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310436 and 310442 the smallest integer that is 48186186356 that is divisible by both numbers.

Least Common Multiple (LCM) of 310436 and 310442 is 48186186356.

LCM(310436,310442) = 48186186356

LCM of 310436 and 310442

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

LCM of:
and

Least Common Multiple of 310436 and 310442

LCM of 310436 and 310442 is 48186186356

Least common multiple can be found by multiplying the highest exponent prime factors of 310436 and 310442. First we will calculate the prime factors of 310436 and 310442.

Prime Factorization of 310436


2 310436
2 155218
7 77609
11087 11087
1

Prime factors of 310436 are 2, 7,11087. Prime factorization of 310436 in exponential form is:

310436 = 22×71×110871

Prime Factorization of 310442


2 310442
11 155221
103 14111
137 137
1

Prime factors of 310442 are 2, 11, 103,137. Prime factorization of 310442 in exponential form is:

310442 = 21×111×1031×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 310436 and 310442.

LCM(310436,310442) = 22×71×111×1031×1371×110871
LCM(310436,310442) = 48186186356

Factors of 310436

List of positive integer factors of 310436 that divides 310436 without a remainder.

1, 2, 4, 7, 14, 28, 11087, 22174, 44348, 77609, 155218, 310436

Factors of 310442

List of positive integer factors of 310442 that divides 310442 without a remainder.

1, 2, 11, 22, 103, 137, 206, 274, 1133, 1507, 2266, 3014, 14111, 28222, 155221, 310442

Least Common Multiple of 310436 and 310442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310436 and 310442, than apply into the LCM equation.

GCF(310436,310442) = 2
LCM(310436,310442) = ( 310436 × 310442) / 2
LCM(310436,310442) = 96372372712 / 2
LCM(310436,310442) = 48186186356

Properties of LCM 310436 and 310442

(i) The LCM of 310442 and 310436 is associative

LCM of 310436 and 310442 = LCM of 310442 and 310436

Related Least Common Multiples of 310436

Related Least Common Multiples of 310442

Frequently Asked Questions on LCM of 310436 and 310442

1. What is the LCM of 310436 and 310442?

Answer: LCM of 310436 and 310442 is 48186186356.

2. What are the Factors of 310436?

Answer: Factors of 310436 are 1, 2, 4, 7, 14, 28, 11087, 22174, 44348, 77609, 155218, 310436. There are 12 integers that are factors of 310436. The greatest factor of 310436 is 310436.

3. What are the Factors of 310442?

Answer: Factors of 310442 are 1, 2, 11, 22, 103, 137, 206, 274, 1133, 1507, 2266, 3014, 14111, 28222, 155221, 310442. There are 16 integers that are factors of 310442. The greatest factor of 310442 is 310442.

4. How to Find the LCM of 310436 and 310442?

Answer:

Least Common Multiple of 310436 and 310442 = 48186186356

Step 1: Find the prime factorization of 310436

310436 = 2 x 2 x 7 x 11087

Step 2: Find the prime factorization of 310442

310442 = 2 x 11 x 103 x 137

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

LCM = 48186186356 = 2 x 2 x 7 x 11 x 103 x 137 x 11087

Step 4: Therefore, the least common multiple of 310436 and 310442 is 48186186356.