Least Common Multiple of 401 and 407

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 407 the smallest integer that is 163207 that is divisible by both numbers.

Least Common Multiple (LCM) of 401 and 407 is 163207.

LCM(401,407) = 163207

LCM of 401 and 407

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

LCM of:
and

Least Common Multiple of 401 and 407

LCM of 401 and 407 is 163207

Least common multiple can be found by multiplying the highest exponent prime factors of 401 and 407. First we will calculate the prime factors of 401 and 407.

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 407


11 407
37 37
1

Prime factors of 407 are 11,37. Prime factorization of 407 in exponential form is:

407 = 111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 401 and 407.

LCM(401,407) = 111×371×4011
LCM(401,407) = 163207

Factors of 401

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

1, 401

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Least Common Multiple of 401 and 407 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 407, than apply into the LCM equation.

GCF(401,407) = 1
LCM(401,407) = ( 401 × 407) / 1
LCM(401,407) = 163207 / 1
LCM(401,407) = 163207

Properties of LCM 401 and 407

(i) The LCM of 407 and 401 is associative

LCM of 401 and 407 = LCM of 407 and 401

Related Least Common Multiples of 401

Related Least Common Multiples of 407

Frequently Asked Questions on LCM of 401 and 407

1. What is the LCM of 401 and 407?

Answer: LCM of 401 and 407 is 163207.

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 407?

Answer: Factors of 407 are 1, 11, 37, 407. There are 4 integers that are factors of 407. The greatest factor of 407 is 407.

4. How to Find the LCM of 401 and 407?

Answer:

Least Common Multiple of 401 and 407 = 163207

Step 1: Find the prime factorization of 401

401 = 401

Step 2: Find the prime factorization of 407

407 = 11 x 37

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

LCM = 163207 = 11 x 37 x 401

Step 4: Therefore, the least common multiple of 401 and 407 is 163207.