Least Common Multiple of 98 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 98 and 104 the smallest integer that is 5096 that is divisible by both numbers.

Least Common Multiple (LCM) of 98 and 104 is 5096.

LCM(98,104) = 5096

LCM of 98 and 104

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

LCM of:
and

Least Common Multiple of 98 and 104

LCM of 98 and 104 is 5096

Least common multiple can be found by multiplying the highest exponent prime factors of 98 and 104. First we will calculate the prime factors of 98 and 104.

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

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 98 and 104.

LCM(98,104) = 23×72×131
LCM(98,104) = 5096

Factors of 98

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

1, 2, 7, 14, 49, 98

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 98 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 98 and 104, than apply into the LCM equation.

GCF(98,104) = 2
LCM(98,104) = ( 98 × 104) / 2
LCM(98,104) = 10192 / 2
LCM(98,104) = 5096

Properties of LCM 98 and 104

(i) The LCM of 104 and 98 is associative

LCM of 98 and 104 = LCM of 104 and 98

Related Least Common Multiples of 98

Related Least Common Multiples of 104

Frequently Asked Questions on LCM of 98 and 104

1. What is the LCM of 98 and 104?

Answer: LCM of 98 and 104 is 5096.

2. 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.

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 98 and 104?

Answer:

Least Common Multiple of 98 and 104 = 5096

Step 1: Find the prime factorization of 98

98 = 2 x 7 x 7

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 = 5096 = 2 x 2 x 2 x 7 x 7 x 13

Step 4: Therefore, the least common multiple of 98 and 104 is 5096.