Least Common Multiple of 312402 and 312404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 312402 and 312404 the smallest integer that is 48797817204 that is divisible by both numbers.

Least Common Multiple (LCM) of 312402 and 312404 is 48797817204.

LCM(312402,312404) = 48797817204

LCM of 312402 and 312404

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

LCM of:
and

Least Common Multiple of 312402 and 312404

LCM of 312402 and 312404 is 48797817204

Least common multiple can be found by multiplying the highest exponent prime factors of 312402 and 312404. First we will calculate the prime factors of 312402 and 312404.

Prime Factorization of 312402


2 312402
3 156201
52067 52067
1

Prime factors of 312402 are 2, 3,52067. Prime factorization of 312402 in exponential form is:

312402 = 21×31×520671

Prime Factorization of 312404


2 312404
2 156202
78101 78101
1

Prime factors of 312404 are 2,78101. Prime factorization of 312404 in exponential form is:

312404 = 22×781011

Now multiplying the highest exponent prime factors to calculate the LCM of 312402 and 312404.

LCM(312402,312404) = 22×31×520671×781011
LCM(312402,312404) = 48797817204

Factors of 312402

List of positive integer factors of 312402 that divides 312402 without a remainder.

1, 2, 3, 6, 52067, 104134, 156201, 312402

Factors of 312404

List of positive integer factors of 312404 that divides 312404 without a remainder.

1, 2, 4, 78101, 156202, 312404

Least Common Multiple of 312402 and 312404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 312402 and 312404, than apply into the LCM equation.

GCF(312402,312404) = 2
LCM(312402,312404) = ( 312402 × 312404) / 2
LCM(312402,312404) = 97595634408 / 2
LCM(312402,312404) = 48797817204

Properties of LCM 312402 and 312404

(i) The LCM of 312404 and 312402 is associative

LCM of 312402 and 312404 = LCM of 312404 and 312402

Related Least Common Multiples of 312402

Related Least Common Multiples of 312404

Frequently Asked Questions on LCM of 312402 and 312404

1. What is the LCM of 312402 and 312404?

Answer: LCM of 312402 and 312404 is 48797817204.

2. What are the Factors of 312402?

Answer: Factors of 312402 are 1, 2, 3, 6, 52067, 104134, 156201, 312402. There are 8 integers that are factors of 312402. The greatest factor of 312402 is 312402.

3. What are the Factors of 312404?

Answer: Factors of 312404 are 1, 2, 4, 78101, 156202, 312404. There are 6 integers that are factors of 312404. The greatest factor of 312404 is 312404.

4. How to Find the LCM of 312402 and 312404?

Answer:

Least Common Multiple of 312402 and 312404 = 48797817204

Step 1: Find the prime factorization of 312402

312402 = 2 x 3 x 52067

Step 2: Find the prime factorization of 312404

312404 = 2 x 2 x 78101

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

LCM = 48797817204 = 2 x 2 x 3 x 52067 x 78101

Step 4: Therefore, the least common multiple of 312402 and 312404 is 48797817204.