Least Common Multiple of 84 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 84 and 98 the smallest integer that is 588 that is divisible by both numbers.

Least Common Multiple (LCM) of 84 and 98 is 588.

LCM(84,98) = 588

LCM of 84 and 98

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

LCM of:
and

Least Common Multiple of 84 and 98

LCM of 84 and 98 is 588

Least common multiple can be found by multiplying the highest exponent prime factors of 84 and 98. First we will calculate the prime factors of 84 and 98.

Prime Factorization of 84


2 84
2 42
3 21
7 7
1

Prime factors of 84 are 2, 3,7. Prime factorization of 84 in exponential form is:

84 = 22×31×71

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 84 and 98.

LCM(84,98) = 22×31×72
LCM(84,98) = 588

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 84 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 84 and 98, than apply into the LCM equation.

GCF(84,98) = 14
LCM(84,98) = ( 84 × 98) / 14
LCM(84,98) = 8232 / 14
LCM(84,98) = 588

Properties of LCM 84 and 98

(i) The LCM of 98 and 84 is associative

LCM of 84 and 98 = LCM of 98 and 84

Related Least Common Multiples of 84

Related Least Common Multiples of 98

Frequently Asked Questions on LCM of 84 and 98

1. What is the LCM of 84 and 98?

Answer: LCM of 84 and 98 is 588.

2. What are the Factors of 84?

Answer: Factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84. There are 12 integers that are factors of 84. The greatest factor of 84 is 84.

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 84 and 98?

Answer:

Least Common Multiple of 84 and 98 = 588

Step 1: Find the prime factorization of 84

84 = 2 x 2 x 3 x 7

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 = 588 = 2 x 2 x 3 x 7 x 7

Step 4: Therefore, the least common multiple of 84 and 98 is 588.