Least Common Multiple of 395 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 395 and 402 the smallest integer that is 158790 that is divisible by both numbers.

Least Common Multiple (LCM) of 395 and 402 is 158790.

LCM(395,402) = 158790

LCM of 395 and 402

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

LCM of:
and

Least Common Multiple of 395 and 402

LCM of 395 and 402 is 158790

Least common multiple can be found by multiplying the highest exponent prime factors of 395 and 402. First we will calculate the prime factors of 395 and 402.

Prime Factorization of 395


5 395
79 79
1

Prime factors of 395 are 5,79. Prime factorization of 395 in exponential form is:

395 = 51×791

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 395 and 402.

LCM(395,402) = 21×31×51×671×791
LCM(395,402) = 158790

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1, 5, 79, 395

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 395 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 395 and 402, than apply into the LCM equation.

GCF(395,402) = 1
LCM(395,402) = ( 395 × 402) / 1
LCM(395,402) = 158790 / 1
LCM(395,402) = 158790

Properties of LCM 395 and 402

(i) The LCM of 402 and 395 is associative

LCM of 395 and 402 = LCM of 402 and 395

Related Least Common Multiples of 395

Related Least Common Multiples of 402

Frequently Asked Questions on LCM of 395 and 402

1. What is the LCM of 395 and 402?

Answer: LCM of 395 and 402 is 158790.

2. What are the Factors of 395?

Answer: Factors of 395 are 1, 5, 79, 395. There are 4 integers that are factors of 395. The greatest factor of 395 is 395.

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 395 and 402?

Answer:

Least Common Multiple of 395 and 402 = 158790

Step 1: Find the prime factorization of 395

395 = 5 x 79

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 = 158790 = 2 x 3 x 5 x 67 x 79

Step 4: Therefore, the least common multiple of 395 and 402 is 158790.