Least Common Multiple of 103 and 107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 103 and 107 the smallest integer that is 11021 that is divisible by both numbers.

Least Common Multiple (LCM) of 103 and 107 is 11021.

LCM(103,107) = 11021

LCM of 103 and 107

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

LCM of:
and

Least Common Multiple of 103 and 107

LCM of 103 and 107 is 11021

Least common multiple can be found by multiplying the highest exponent prime factors of 103 and 107. First we will calculate the prime factors of 103 and 107.

Prime Factorization of 103


103 103
1

Prime factors of 103 are 103. Prime factorization of 103 in exponential form is:

103 = 1031

Prime Factorization of 107


107 107
1

Prime factors of 107 are 107. Prime factorization of 107 in exponential form is:

107 = 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 103 and 107.

LCM(103,107) = 1031×1071
LCM(103,107) = 11021

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1, 103

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1, 107

Least Common Multiple of 103 and 107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 103 and 107, than apply into the LCM equation.

GCF(103,107) = 1
LCM(103,107) = ( 103 × 107) / 1
LCM(103,107) = 11021 / 1
LCM(103,107) = 11021

Properties of LCM 103 and 107

(i) The LCM of 107 and 103 is associative

LCM of 103 and 107 = LCM of 107 and 103

Related Least Common Multiples of 103

Related Least Common Multiples of 107

Frequently Asked Questions on LCM of 103 and 107

1. What is the LCM of 103 and 107?

Answer: LCM of 103 and 107 is 11021.

2. What are the Factors of 103?

Answer: Factors of 103 are 1, 103. There are 2 integers that are factors of 103. The greatest factor of 103 is 103.

3. What are the Factors of 107?

Answer: Factors of 107 are 1, 107. There are 2 integers that are factors of 107. The greatest factor of 107 is 107.

4. How to Find the LCM of 103 and 107?

Answer:

Least Common Multiple of 103 and 107 = 11021

Step 1: Find the prime factorization of 103

103 = 103

Step 2: Find the prime factorization of 107

107 = 107

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

LCM = 11021 = 103 x 107

Step 4: Therefore, the least common multiple of 103 and 107 is 11021.