Least Common Multiple of 96 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 96 and 98 the smallest integer that is 4704 that is divisible by both numbers.

Least Common Multiple (LCM) of 96 and 98 is 4704.

LCM(96,98) = 4704

LCM of 96 and 98

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

LCM of:
and

Least Common Multiple of 96 and 98

LCM of 96 and 98 is 4704

Least common multiple can be found by multiplying the highest exponent prime factors of 96 and 98. First we will calculate the prime factors of 96 and 98.

Prime Factorization of 96


2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 96 are 2,3. Prime factorization of 96 in exponential form is:

96 = 25×31

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 96 and 98.

LCM(96,98) = 25×31×72
LCM(96,98) = 4704

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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 96 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 96 and 98, than apply into the LCM equation.

GCF(96,98) = 2
LCM(96,98) = ( 96 × 98) / 2
LCM(96,98) = 9408 / 2
LCM(96,98) = 4704

Properties of LCM 96 and 98

(i) The LCM of 98 and 96 is associative

LCM of 96 and 98 = LCM of 98 and 96

Related Least Common Multiples of 96

Related Least Common Multiples of 98

Frequently Asked Questions on LCM of 96 and 98

1. What is the LCM of 96 and 98?

Answer: LCM of 96 and 98 is 4704.

2. What are the Factors of 96?

Answer: Factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96. There are 12 integers that are factors of 96. The greatest factor of 96 is 96.

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 96 and 98?

Answer:

Least Common Multiple of 96 and 98 = 4704

Step 1: Find the prime factorization of 96

96 = 2 x 2 x 2 x 2 x 2 x 3

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 = 4704 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7

Step 4: Therefore, the least common multiple of 96 and 98 is 4704.