Least Common Multiple of 310434 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 310434 and 310442 the smallest integer that is 48185875914 that is divisible by both numbers.

Least Common Multiple (LCM) of 310434 and 310442 is 48185875914.

LCM(310434,310442) = 48185875914

LCM of 310434 and 310442

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

LCM of:
and

Least Common Multiple of 310434 and 310442

LCM of 310434 and 310442 is 48185875914

Least common multiple can be found by multiplying the highest exponent prime factors of 310434 and 310442. First we will calculate the prime factors of 310434 and 310442.

Prime Factorization of 310434


2 310434
3 155217
31 51739
1669 1669
1

Prime factors of 310434 are 2, 3, 31,1669. Prime factorization of 310434 in exponential form is:

310434 = 21×31×311×16691

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 310434 and 310442.

LCM(310434,310442) = 21×31×111×311×1031×1371×16691
LCM(310434,310442) = 48185875914

Factors of 310434

List of positive integer factors of 310434 that divides 310434 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 1669, 3338, 5007, 10014, 51739, 103478, 155217, 310434

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 310434 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 310434 and 310442, than apply into the LCM equation.

GCF(310434,310442) = 2
LCM(310434,310442) = ( 310434 × 310442) / 2
LCM(310434,310442) = 96371751828 / 2
LCM(310434,310442) = 48185875914

Properties of LCM 310434 and 310442

(i) The LCM of 310442 and 310434 is associative

LCM of 310434 and 310442 = LCM of 310442 and 310434

Related Least Common Multiples of 310434

Related Least Common Multiples of 310442

Frequently Asked Questions on LCM of 310434 and 310442

1. What is the LCM of 310434 and 310442?

Answer: LCM of 310434 and 310442 is 48185875914.

2. What are the Factors of 310434?

Answer: Factors of 310434 are 1, 2, 3, 6, 31, 62, 93, 186, 1669, 3338, 5007, 10014, 51739, 103478, 155217, 310434. There are 16 integers that are factors of 310434. The greatest factor of 310434 is 310434.

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 310434 and 310442?

Answer:

Least Common Multiple of 310434 and 310442 = 48185875914

Step 1: Find the prime factorization of 310434

310434 = 2 x 3 x 31 x 1669

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 = 48185875914 = 2 x 3 x 11 x 31 x 103 x 137 x 1669

Step 4: Therefore, the least common multiple of 310434 and 310442 is 48185875914.