Least Common Multiple of 399 and 402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 399 and 402 the smallest integer that is 53466 that is divisible by both numbers.

Least Common Multiple (LCM) of 399 and 402 is 53466.

LCM(399,402) = 53466

LCM of 399 and 402

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

LCM of:
and

Least Common Multiple of 399 and 402

LCM of 399 and 402 is 53466

Least common multiple can be found by multiplying the highest exponent prime factors of 399 and 402. First we will calculate the prime factors of 399 and 402.

Prime Factorization of 399


3 399
7 133
19 19
1

Prime factors of 399 are 3, 7,19. Prime factorization of 399 in exponential form is:

399 = 31×71×191

Prime Factorization of 402


2 402
3 201
67 67
1

Prime factors of 402 are 2, 3,67. Prime factorization of 402 in exponential form is:

402 = 21×31×671

Now multiplying the highest exponent prime factors to calculate the LCM of 399 and 402.

LCM(399,402) = 21×31×71×191×671
LCM(399,402) = 53466

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Least Common Multiple of 399 and 402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 399 and 402, than apply into the LCM equation.

GCF(399,402) = 3
LCM(399,402) = ( 399 × 402) / 3
LCM(399,402) = 160398 / 3
LCM(399,402) = 53466

Properties of LCM 399 and 402

(i) The LCM of 402 and 399 is associative

LCM of 399 and 402 = LCM of 402 and 399

Related Least Common Multiples of 399

Related Least Common Multiples of 402

Frequently Asked Questions on LCM of 399 and 402

1. What is the LCM of 399 and 402?

Answer: LCM of 399 and 402 is 53466.

2. What are the Factors of 399?

Answer: Factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399. There are 8 integers that are factors of 399. The greatest factor of 399 is 399.

3. What are the Factors of 402?

Answer: Factors of 402 are 1, 2, 3, 6, 67, 134, 201, 402. There are 8 integers that are factors of 402. The greatest factor of 402 is 402.

4. How to Find the LCM of 399 and 402?

Answer:

Least Common Multiple of 399 and 402 = 53466

Step 1: Find the prime factorization of 399

399 = 3 x 7 x 19

Step 2: Find the prime factorization of 402

402 = 2 x 3 x 67

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

LCM = 53466 = 2 x 3 x 7 x 19 x 67

Step 4: Therefore, the least common multiple of 399 and 402 is 53466.