Least Common Multiple of 313430 and 313436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 313430 and 313436 the smallest integer that is 49120122740 that is divisible by both numbers.

Least Common Multiple (LCM) of 313430 and 313436 is 49120122740.

LCM(313430,313436) = 49120122740

LCM of 313430 and 313436

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

LCM of:
and

Least Common Multiple of 313430 and 313436

LCM of 313430 and 313436 is 49120122740

Least common multiple can be found by multiplying the highest exponent prime factors of 313430 and 313436. First we will calculate the prime factors of 313430 and 313436.

Prime Factorization of 313430


2 313430
5 156715
13 31343
2411 2411
1

Prime factors of 313430 are 2, 5, 13,2411. Prime factorization of 313430 in exponential form is:

313430 = 21×51×131×24111

Prime Factorization of 313436


2 313436
2 156718
127 78359
617 617
1

Prime factors of 313436 are 2, 127,617. Prime factorization of 313436 in exponential form is:

313436 = 22×1271×6171

Now multiplying the highest exponent prime factors to calculate the LCM of 313430 and 313436.

LCM(313430,313436) = 22×51×131×1271×6171×24111
LCM(313430,313436) = 49120122740

Factors of 313430

List of positive integer factors of 313430 that divides 313430 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 2411, 4822, 12055, 24110, 31343, 62686, 156715, 313430

Factors of 313436

List of positive integer factors of 313436 that divides 313436 without a remainder.

1, 2, 4, 127, 254, 508, 617, 1234, 2468, 78359, 156718, 313436

Least Common Multiple of 313430 and 313436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313430 and 313436, than apply into the LCM equation.

GCF(313430,313436) = 2
LCM(313430,313436) = ( 313430 × 313436) / 2
LCM(313430,313436) = 98240245480 / 2
LCM(313430,313436) = 49120122740

Properties of LCM 313430 and 313436

(i) The LCM of 313436 and 313430 is associative

LCM of 313430 and 313436 = LCM of 313436 and 313430

Related Least Common Multiples of 313430

Related Least Common Multiples of 313436

Frequently Asked Questions on LCM of 313430 and 313436

1. What is the LCM of 313430 and 313436?

Answer: LCM of 313430 and 313436 is 49120122740.

2. What are the Factors of 313430?

Answer: Factors of 313430 are 1, 2, 5, 10, 13, 26, 65, 130, 2411, 4822, 12055, 24110, 31343, 62686, 156715, 313430. There are 16 integers that are factors of 313430. The greatest factor of 313430 is 313430.

3. What are the Factors of 313436?

Answer: Factors of 313436 are 1, 2, 4, 127, 254, 508, 617, 1234, 2468, 78359, 156718, 313436. There are 12 integers that are factors of 313436. The greatest factor of 313436 is 313436.

4. How to Find the LCM of 313430 and 313436?

Answer:

Least Common Multiple of 313430 and 313436 = 49120122740

Step 1: Find the prime factorization of 313430

313430 = 2 x 5 x 13 x 2411

Step 2: Find the prime factorization of 313436

313436 = 2 x 2 x 127 x 617

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

LCM = 49120122740 = 2 x 2 x 5 x 13 x 127 x 617 x 2411

Step 4: Therefore, the least common multiple of 313430 and 313436 is 49120122740.