Least Common Multiple of 97 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 97 and 103 the smallest integer that is 9991 that is divisible by both numbers.

Least Common Multiple (LCM) of 97 and 103 is 9991.

LCM(97,103) = 9991

LCM of 97 and 103

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

LCM of:
and

Least Common Multiple of 97 and 103

LCM of 97 and 103 is 9991

Least common multiple can be found by multiplying the highest exponent prime factors of 97 and 103. First we will calculate the prime factors of 97 and 103.

Prime Factorization of 97


97 97
1

Prime factors of 97 are 97. Prime factorization of 97 in exponential form is:

97 = 971

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 97 and 103.

LCM(97,103) = 971×1031
LCM(97,103) = 9991

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1, 97

Factors of 103

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

1, 103

Least Common Multiple of 97 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 97 and 103, than apply into the LCM equation.

GCF(97,103) = 1
LCM(97,103) = ( 97 × 103) / 1
LCM(97,103) = 9991 / 1
LCM(97,103) = 9991

Properties of LCM 97 and 103

(i) The LCM of 103 and 97 is associative

LCM of 97 and 103 = LCM of 103 and 97

Related Least Common Multiples of 97

Related Least Common Multiples of 103

Frequently Asked Questions on LCM of 97 and 103

1. What is the LCM of 97 and 103?

Answer: LCM of 97 and 103 is 9991.

2. What are the Factors of 97?

Answer: Factors of 97 are 1, 97. There are 2 integers that are factors of 97. The greatest factor of 97 is 97.

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 97 and 103?

Answer:

Least Common Multiple of 97 and 103 = 9991

Step 1: Find the prime factorization of 97

97 = 97

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 = 9991 = 97 x 103

Step 4: Therefore, the least common multiple of 97 and 103 is 9991.