Least Common Multiple of 97 and 98

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 98 the smallest integer that is 9506 that is divisible by both numbers.

Least Common Multiple (LCM) of 97 and 98 is 9506.

LCM(97,98) = 9506

LCM of 97 and 98

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

LCM of:
and

Least Common Multiple of 97 and 98

LCM of 97 and 98 is 9506

Least common multiple can be found by multiplying the highest exponent prime factors of 97 and 98. First we will calculate the prime factors of 97 and 98.

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 98


2 98
7 49
7 7
1

Prime factors of 98 are 2,7. Prime factorization of 98 in exponential form is:

98 = 21×72

Now multiplying the highest exponent prime factors to calculate the LCM of 97 and 98.

LCM(97,98) = 21×72×971
LCM(97,98) = 9506

Factors of 97

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

1, 97

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Least Common Multiple of 97 and 98 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 98, than apply into the LCM equation.

GCF(97,98) = 1
LCM(97,98) = ( 97 × 98) / 1
LCM(97,98) = 9506 / 1
LCM(97,98) = 9506

Properties of LCM 97 and 98

(i) The LCM of 98 and 97 is associative

LCM of 97 and 98 = LCM of 98 and 97

Related Least Common Multiples of 97

Related Least Common Multiples of 98

Frequently Asked Questions on LCM of 97 and 98

1. What is the LCM of 97 and 98?

Answer: LCM of 97 and 98 is 9506.

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 98?

Answer: Factors of 98 are 1, 2, 7, 14, 49, 98. There are 6 integers that are factors of 98. The greatest factor of 98 is 98.

4. How to Find the LCM of 97 and 98?

Answer:

Least Common Multiple of 97 and 98 = 9506

Step 1: Find the prime factorization of 97

97 = 97

Step 2: Find the prime factorization of 98

98 = 2 x 7 x 7

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

LCM = 9506 = 2 x 7 x 7 x 97

Step 4: Therefore, the least common multiple of 97 and 98 is 9506.