Least Common Multiple of 310426 and 310430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310426 and 310430 the smallest integer that is 48182771590 that is divisible by both numbers.

Least Common Multiple (LCM) of 310426 and 310430 is 48182771590.

LCM(310426,310430) = 48182771590

LCM of 310426 and 310430

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

LCM of:
and

Least Common Multiple of 310426 and 310430

LCM of 310426 and 310430 is 48182771590

Least common multiple can be found by multiplying the highest exponent prime factors of 310426 and 310430. First we will calculate the prime factors of 310426 and 310430.

Prime Factorization of 310426


2 310426
269 155213
577 577
1

Prime factors of 310426 are 2, 269,577. Prime factorization of 310426 in exponential form is:

310426 = 21×2691×5771

Prime Factorization of 310430


2 310430
5 155215
37 31043
839 839
1

Prime factors of 310430 are 2, 5, 37,839. Prime factorization of 310430 in exponential form is:

310430 = 21×51×371×8391

Now multiplying the highest exponent prime factors to calculate the LCM of 310426 and 310430.

LCM(310426,310430) = 21×51×371×2691×5771×8391
LCM(310426,310430) = 48182771590

Factors of 310426

List of positive integer factors of 310426 that divides 310426 without a remainder.

1, 2, 269, 538, 577, 1154, 155213, 310426

Factors of 310430

List of positive integer factors of 310430 that divides 310430 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370, 839, 1678, 4195, 8390, 31043, 62086, 155215, 310430

Least Common Multiple of 310426 and 310430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310426 and 310430, than apply into the LCM equation.

GCF(310426,310430) = 2
LCM(310426,310430) = ( 310426 × 310430) / 2
LCM(310426,310430) = 96365543180 / 2
LCM(310426,310430) = 48182771590

Properties of LCM 310426 and 310430

(i) The LCM of 310430 and 310426 is associative

LCM of 310426 and 310430 = LCM of 310430 and 310426

Related Least Common Multiples of 310426

Related Least Common Multiples of 310430

Frequently Asked Questions on LCM of 310426 and 310430

1. What is the LCM of 310426 and 310430?

Answer: LCM of 310426 and 310430 is 48182771590.

2. What are the Factors of 310426?

Answer: Factors of 310426 are 1, 2, 269, 538, 577, 1154, 155213, 310426. There are 8 integers that are factors of 310426. The greatest factor of 310426 is 310426.

3. What are the Factors of 310430?

Answer: Factors of 310430 are 1, 2, 5, 10, 37, 74, 185, 370, 839, 1678, 4195, 8390, 31043, 62086, 155215, 310430. There are 16 integers that are factors of 310430. The greatest factor of 310430 is 310430.

4. How to Find the LCM of 310426 and 310430?

Answer:

Least Common Multiple of 310426 and 310430 = 48182771590

Step 1: Find the prime factorization of 310426

310426 = 2 x 269 x 577

Step 2: Find the prime factorization of 310430

310430 = 2 x 5 x 37 x 839

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

LCM = 48182771590 = 2 x 5 x 37 x 269 x 577 x 839

Step 4: Therefore, the least common multiple of 310426 and 310430 is 48182771590.