Least Common Multiple of 8401 and 8407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8401 and 8407 the smallest integer that is 70627207 that is divisible by both numbers.

Least Common Multiple (LCM) of 8401 and 8407 is 70627207.

LCM(8401,8407) = 70627207

LCM of 8401 and 8407

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

LCM of:
and

Least Common Multiple of 8401 and 8407

LCM of 8401 and 8407 is 70627207

Least common multiple can be found by multiplying the highest exponent prime factors of 8401 and 8407. First we will calculate the prime factors of 8401 and 8407.

Prime Factorization of 8401


31 8401
271 271
1

Prime factors of 8401 are 31,271. Prime factorization of 8401 in exponential form is:

8401 = 311×2711

Prime Factorization of 8407


7 8407
1201 1201
1

Prime factors of 8407 are 7,1201. Prime factorization of 8407 in exponential form is:

8407 = 71×12011

Now multiplying the highest exponent prime factors to calculate the LCM of 8401 and 8407.

LCM(8401,8407) = 71×311×2711×12011
LCM(8401,8407) = 70627207

Factors of 8401

List of positive integer factors of 8401 that divides 8401 without a remainder.

1, 31, 271, 8401

Factors of 8407

List of positive integer factors of 8407 that divides 8407 without a remainder.

1, 7, 1201, 8407

Least Common Multiple of 8401 and 8407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8401 and 8407, than apply into the LCM equation.

GCF(8401,8407) = 1
LCM(8401,8407) = ( 8401 × 8407) / 1
LCM(8401,8407) = 70627207 / 1
LCM(8401,8407) = 70627207

Properties of LCM 8401 and 8407

(i) The LCM of 8407 and 8401 is associative

LCM of 8401 and 8407 = LCM of 8407 and 8401

Related Least Common Multiples of 8401

Related Least Common Multiples of 8407

Frequently Asked Questions on LCM of 8401 and 8407

1. What is the LCM of 8401 and 8407?

Answer: LCM of 8401 and 8407 is 70627207.

2. What are the Factors of 8401?

Answer: Factors of 8401 are 1, 31, 271, 8401. There are 4 integers that are factors of 8401. The greatest factor of 8401 is 8401.

3. What are the Factors of 8407?

Answer: Factors of 8407 are 1, 7, 1201, 8407. There are 4 integers that are factors of 8407. The greatest factor of 8407 is 8407.

4. How to Find the LCM of 8401 and 8407?

Answer:

Least Common Multiple of 8401 and 8407 = 70627207

Step 1: Find the prime factorization of 8401

8401 = 31 x 271

Step 2: Find the prime factorization of 8407

8407 = 7 x 1201

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

LCM = 70627207 = 7 x 31 x 271 x 1201

Step 4: Therefore, the least common multiple of 8401 and 8407 is 70627207.