Least Common Multiple of 101 and 103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 101 and 103 the smallest integer that is 10403 that is divisible by both numbers.

Least Common Multiple (LCM) of 101 and 103 is 10403.

LCM(101,103) = 10403

LCM of 101 and 103

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

LCM of:
and

Least Common Multiple of 101 and 103

LCM of 101 and 103 is 10403

Least common multiple can be found by multiplying the highest exponent prime factors of 101 and 103. First we will calculate the prime factors of 101 and 103.

Prime Factorization of 101


101 101
1

Prime factors of 101 are 101. Prime factorization of 101 in exponential form is:

101 = 1011

Prime Factorization of 103


103 103
1

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

103 = 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 101 and 103.

LCM(101,103) = 1011×1031
LCM(101,103) = 10403

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1, 101

Factors of 103

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

1, 103

Least Common Multiple of 101 and 103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 101 and 103, than apply into the LCM equation.

GCF(101,103) = 1
LCM(101,103) = ( 101 × 103) / 1
LCM(101,103) = 10403 / 1
LCM(101,103) = 10403

Properties of LCM 101 and 103

(i) The LCM of 103 and 101 is associative

LCM of 101 and 103 = LCM of 103 and 101

Related Least Common Multiples of 101

Related Least Common Multiples of 103

Frequently Asked Questions on LCM of 101 and 103

1. What is the LCM of 101 and 103?

Answer: LCM of 101 and 103 is 10403.

2. What are the Factors of 101?

Answer: Factors of 101 are 1, 101. There are 2 integers that are factors of 101. The greatest factor of 101 is 101.

3. 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.

4. How to Find the LCM of 101 and 103?

Answer:

Least Common Multiple of 101 and 103 = 10403

Step 1: Find the prime factorization of 101

101 = 101

Step 2: Find the prime factorization of 103

103 = 103

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

LCM = 10403 = 101 x 103

Step 4: Therefore, the least common multiple of 101 and 103 is 10403.