Least Common Multiple of 97 and 102

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 102 the smallest integer that is 9894 that is divisible by both numbers.

Least Common Multiple (LCM) of 97 and 102 is 9894.

LCM(97,102) = 9894

LCM of 97 and 102

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

LCM of:
and

Least Common Multiple of 97 and 102

LCM of 97 and 102 is 9894

Least common multiple can be found by multiplying the highest exponent prime factors of 97 and 102. First we will calculate the prime factors of 97 and 102.

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 102


2 102
3 51
17 17
1

Prime factors of 102 are 2, 3,17. Prime factorization of 102 in exponential form is:

102 = 21×31×171

Now multiplying the highest exponent prime factors to calculate the LCM of 97 and 102.

LCM(97,102) = 21×31×171×971
LCM(97,102) = 9894

Factors of 97

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

1, 97

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Least Common Multiple of 97 and 102 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 102, than apply into the LCM equation.

GCF(97,102) = 1
LCM(97,102) = ( 97 × 102) / 1
LCM(97,102) = 9894 / 1
LCM(97,102) = 9894

Properties of LCM 97 and 102

(i) The LCM of 102 and 97 is associative

LCM of 97 and 102 = LCM of 102 and 97

Related Least Common Multiples of 97

Related Least Common Multiples of 102

Frequently Asked Questions on LCM of 97 and 102

1. What is the LCM of 97 and 102?

Answer: LCM of 97 and 102 is 9894.

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 102?

Answer: Factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102. There are 8 integers that are factors of 102. The greatest factor of 102 is 102.

4. How to Find the LCM of 97 and 102?

Answer:

Least Common Multiple of 97 and 102 = 9894

Step 1: Find the prime factorization of 97

97 = 97

Step 2: Find the prime factorization of 102

102 = 2 x 3 x 17

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

LCM = 9894 = 2 x 3 x 17 x 97

Step 4: Therefore, the least common multiple of 97 and 102 is 9894.