Least Common Multiple of 310402 and 310409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310402 and 310409 the smallest integer that is 96351574418 that is divisible by both numbers.

Least Common Multiple (LCM) of 310402 and 310409 is 96351574418.

LCM(310402,310409) = 96351574418

LCM of 310402 and 310409

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

LCM of:
and

Least Common Multiple of 310402 and 310409

LCM of 310402 and 310409 is 96351574418

Least common multiple can be found by multiplying the highest exponent prime factors of 310402 and 310409. First we will calculate the prime factors of 310402 and 310409.

Prime Factorization of 310402


2 310402
155201 155201
1

Prime factors of 310402 are 2,155201. Prime factorization of 310402 in exponential form is:

310402 = 21×1552011

Prime Factorization of 310409


11 310409
28219 28219
1

Prime factors of 310409 are 11,28219. Prime factorization of 310409 in exponential form is:

310409 = 111×282191

Now multiplying the highest exponent prime factors to calculate the LCM of 310402 and 310409.

LCM(310402,310409) = 21×111×282191×1552011
LCM(310402,310409) = 96351574418

Factors of 310402

List of positive integer factors of 310402 that divides 310402 without a remainder.

1, 2, 155201, 310402

Factors of 310409

List of positive integer factors of 310409 that divides 310409 without a remainder.

1, 11, 28219, 310409

Least Common Multiple of 310402 and 310409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310402 and 310409, than apply into the LCM equation.

GCF(310402,310409) = 1
LCM(310402,310409) = ( 310402 × 310409) / 1
LCM(310402,310409) = 96351574418 / 1
LCM(310402,310409) = 96351574418

Properties of LCM 310402 and 310409

(i) The LCM of 310409 and 310402 is associative

LCM of 310402 and 310409 = LCM of 310409 and 310402

Related Least Common Multiples of 310402

Related Least Common Multiples of 310409

Frequently Asked Questions on LCM of 310402 and 310409

1. What is the LCM of 310402 and 310409?

Answer: LCM of 310402 and 310409 is 96351574418.

2. What are the Factors of 310402?

Answer: Factors of 310402 are 1, 2, 155201, 310402. There are 4 integers that are factors of 310402. The greatest factor of 310402 is 310402.

3. What are the Factors of 310409?

Answer: Factors of 310409 are 1, 11, 28219, 310409. There are 4 integers that are factors of 310409. The greatest factor of 310409 is 310409.

4. How to Find the LCM of 310402 and 310409?

Answer:

Least Common Multiple of 310402 and 310409 = 96351574418

Step 1: Find the prime factorization of 310402

310402 = 2 x 155201

Step 2: Find the prime factorization of 310409

310409 = 11 x 28219

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

LCM = 96351574418 = 2 x 11 x 28219 x 155201

Step 4: Therefore, the least common multiple of 310402 and 310409 is 96351574418.