Least Common Multiple of 398 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 398 and 402 the smallest integer that is 79998 that is divisible by both numbers.

Least Common Multiple (LCM) of 398 and 402 is 79998.

LCM(398,402) = 79998

LCM of 398 and 402

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

LCM of:
and

Least Common Multiple of 398 and 402

LCM of 398 and 402 is 79998

Least common multiple can be found by multiplying the highest exponent prime factors of 398 and 402. First we will calculate the prime factors of 398 and 402.

Prime Factorization of 398


2 398
199 199
1

Prime factors of 398 are 2,199. Prime factorization of 398 in exponential form is:

398 = 21×1991

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 398 and 402.

LCM(398,402) = 21×31×671×1991
LCM(398,402) = 79998

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1, 2, 199, 398

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 398 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 398 and 402, than apply into the LCM equation.

GCF(398,402) = 2
LCM(398,402) = ( 398 × 402) / 2
LCM(398,402) = 159996 / 2
LCM(398,402) = 79998

Properties of LCM 398 and 402

(i) The LCM of 402 and 398 is associative

LCM of 398 and 402 = LCM of 402 and 398

Related Least Common Multiples of 398

Related Least Common Multiples of 402

Frequently Asked Questions on LCM of 398 and 402

1. What is the LCM of 398 and 402?

Answer: LCM of 398 and 402 is 79998.

2. What are the Factors of 398?

Answer: Factors of 398 are 1, 2, 199, 398. There are 4 integers that are factors of 398. The greatest factor of 398 is 398.

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 398 and 402?

Answer:

Least Common Multiple of 398 and 402 = 79998

Step 1: Find the prime factorization of 398

398 = 2 x 199

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 = 79998 = 2 x 3 x 67 x 199

Step 4: Therefore, the least common multiple of 398 and 402 is 79998.