Least Common Multiple of 401 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 401 and 402 the smallest integer that is 161202 that is divisible by both numbers.

Least Common Multiple (LCM) of 401 and 402 is 161202.

LCM(401,402) = 161202

LCM of 401 and 402

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

LCM of:
and

Least Common Multiple of 401 and 402

LCM of 401 and 402 is 161202

Least common multiple can be found by multiplying the highest exponent prime factors of 401 and 402. First we will calculate the prime factors of 401 and 402.

Prime Factorization of 401


401 401
1

Prime factors of 401 are 401. Prime factorization of 401 in exponential form is:

401 = 4011

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 401 and 402.

LCM(401,402) = 21×31×671×4011
LCM(401,402) = 161202

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1, 401

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 401 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 401 and 402, than apply into the LCM equation.

GCF(401,402) = 1
LCM(401,402) = ( 401 × 402) / 1
LCM(401,402) = 161202 / 1
LCM(401,402) = 161202

Properties of LCM 401 and 402

(i) The LCM of 402 and 401 is associative

LCM of 401 and 402 = LCM of 402 and 401

Related Least Common Multiples of 401

Related Least Common Multiples of 402

Frequently Asked Questions on LCM of 401 and 402

1. What is the LCM of 401 and 402?

Answer: LCM of 401 and 402 is 161202.

2. What are the Factors of 401?

Answer: Factors of 401 are 1, 401. There are 2 integers that are factors of 401. The greatest factor of 401 is 401.

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 401 and 402?

Answer:

Least Common Multiple of 401 and 402 = 161202

Step 1: Find the prime factorization of 401

401 = 401

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 = 161202 = 2 x 3 x 67 x 401

Step 4: Therefore, the least common multiple of 401 and 402 is 161202.