Least Common Multiple of 97 and 104

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 104 the smallest integer that is 10088 that is divisible by both numbers.

Least Common Multiple (LCM) of 97 and 104 is 10088.

LCM(97,104) = 10088

LCM of 97 and 104

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

LCM of:
and

Least Common Multiple of 97 and 104

LCM of 97 and 104 is 10088

Least common multiple can be found by multiplying the highest exponent prime factors of 97 and 104. First we will calculate the prime factors of 97 and 104.

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 104


2 104
2 52
2 26
13 13
1

Prime factors of 104 are 2,13. Prime factorization of 104 in exponential form is:

104 = 23×131

Now multiplying the highest exponent prime factors to calculate the LCM of 97 and 104.

LCM(97,104) = 23×131×971
LCM(97,104) = 10088

Factors of 97

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

1, 97

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Least Common Multiple of 97 and 104 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 104, than apply into the LCM equation.

GCF(97,104) = 1
LCM(97,104) = ( 97 × 104) / 1
LCM(97,104) = 10088 / 1
LCM(97,104) = 10088

Properties of LCM 97 and 104

(i) The LCM of 104 and 97 is associative

LCM of 97 and 104 = LCM of 104 and 97

Related Least Common Multiples of 97

Related Least Common Multiples of 104

Frequently Asked Questions on LCM of 97 and 104

1. What is the LCM of 97 and 104?

Answer: LCM of 97 and 104 is 10088.

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 104?

Answer: Factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104. There are 8 integers that are factors of 104. The greatest factor of 104 is 104.

4. How to Find the LCM of 97 and 104?

Answer:

Least Common Multiple of 97 and 104 = 10088

Step 1: Find the prime factorization of 97

97 = 97

Step 2: Find the prime factorization of 104

104 = 2 x 2 x 2 x 13

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

LCM = 10088 = 2 x 2 x 2 x 13 x 97

Step 4: Therefore, the least common multiple of 97 and 104 is 10088.