Least Common Multiple of 7101 and 7103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7101 and 7103 the smallest integer that is 50438403 that is divisible by both numbers.

Least Common Multiple (LCM) of 7101 and 7103 is 50438403.

LCM(7101,7103) = 50438403

LCM of 7101 and 7103

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

LCM of:
and

Least Common Multiple of 7101 and 7103

LCM of 7101 and 7103 is 50438403

Least common multiple can be found by multiplying the highest exponent prime factors of 7101 and 7103. First we will calculate the prime factors of 7101 and 7103.

Prime Factorization of 7101


3 7101
3 2367
3 789
263 263
1

Prime factors of 7101 are 3,263. Prime factorization of 7101 in exponential form is:

7101 = 33×2631

Prime Factorization of 7103


7103 7103
1

Prime factors of 7103 are 7103. Prime factorization of 7103 in exponential form is:

7103 = 71031

Now multiplying the highest exponent prime factors to calculate the LCM of 7101 and 7103.

LCM(7101,7103) = 33×2631×71031
LCM(7101,7103) = 50438403

Factors of 7101

List of positive integer factors of 7101 that divides 7101 without a remainder.

1, 3, 9, 27, 263, 789, 2367, 7101

Factors of 7103

List of positive integer factors of 7103 that divides 7103 without a remainder.

1, 7103

Least Common Multiple of 7101 and 7103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7101 and 7103, than apply into the LCM equation.

GCF(7101,7103) = 1
LCM(7101,7103) = ( 7101 × 7103) / 1
LCM(7101,7103) = 50438403 / 1
LCM(7101,7103) = 50438403

Properties of LCM 7101 and 7103

(i) The LCM of 7103 and 7101 is associative

LCM of 7101 and 7103 = LCM of 7103 and 7101

Related Least Common Multiples of 7101

Related Least Common Multiples of 7103

Frequently Asked Questions on LCM of 7101 and 7103

1. What is the LCM of 7101 and 7103?

Answer: LCM of 7101 and 7103 is 50438403.

2. What are the Factors of 7101?

Answer: Factors of 7101 are 1, 3, 9, 27, 263, 789, 2367, 7101. There are 8 integers that are factors of 7101. The greatest factor of 7101 is 7101.

3. What are the Factors of 7103?

Answer: Factors of 7103 are 1, 7103. There are 2 integers that are factors of 7103. The greatest factor of 7103 is 7103.

4. How to Find the LCM of 7101 and 7103?

Answer:

Least Common Multiple of 7101 and 7103 = 50438403

Step 1: Find the prime factorization of 7101

7101 = 3 x 3 x 3 x 263

Step 2: Find the prime factorization of 7103

7103 = 7103

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

LCM = 50438403 = 3 x 3 x 3 x 263 x 7103

Step 4: Therefore, the least common multiple of 7101 and 7103 is 50438403.