Least Common Multiple of 97 and 101

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 101 the smallest integer that is 9797 that is divisible by both numbers.

Least Common Multiple (LCM) of 97 and 101 is 9797.

LCM(97,101) = 9797

LCM of 97 and 101

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

LCM of:
and

Least Common Multiple of 97 and 101

LCM of 97 and 101 is 9797

Least common multiple can be found by multiplying the highest exponent prime factors of 97 and 101. First we will calculate the prime factors of 97 and 101.

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 101


101 101
1

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

101 = 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 97 and 101.

LCM(97,101) = 971×1011
LCM(97,101) = 9797

Factors of 97

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

1, 97

Factors of 101

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

1, 101

Least Common Multiple of 97 and 101 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 101, than apply into the LCM equation.

GCF(97,101) = 1
LCM(97,101) = ( 97 × 101) / 1
LCM(97,101) = 9797 / 1
LCM(97,101) = 9797

Properties of LCM 97 and 101

(i) The LCM of 101 and 97 is associative

LCM of 97 and 101 = LCM of 101 and 97

Related Least Common Multiples of 97

Related Least Common Multiples of 101

Frequently Asked Questions on LCM of 97 and 101

1. What is the LCM of 97 and 101?

Answer: LCM of 97 and 101 is 9797.

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 101?

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

4. How to Find the LCM of 97 and 101?

Answer:

Least Common Multiple of 97 and 101 = 9797

Step 1: Find the prime factorization of 97

97 = 97

Step 2: Find the prime factorization of 101

101 = 101

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

LCM = 9797 = 97 x 101

Step 4: Therefore, the least common multiple of 97 and 101 is 9797.