Least Common Multiple of 79 and 84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 79 and 84 the smallest integer that is 6636 that is divisible by both numbers.

Least Common Multiple (LCM) of 79 and 84 is 6636.

LCM(79,84) = 6636

LCM of 79 and 84

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

LCM of:
and

Least Common Multiple of 79 and 84

LCM of 79 and 84 is 6636

Least common multiple can be found by multiplying the highest exponent prime factors of 79 and 84. First we will calculate the prime factors of 79 and 84.

Prime Factorization of 79


79 79
1

Prime factors of 79 are 79. Prime factorization of 79 in exponential form is:

79 = 791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 79 and 84.

LCM(79,84) = 22×31×71×791
LCM(79,84) = 6636

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1, 79

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

Least Common Multiple of 79 and 84 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79 and 84, than apply into the LCM equation.

GCF(79,84) = 1
LCM(79,84) = ( 79 × 84) / 1
LCM(79,84) = 6636 / 1
LCM(79,84) = 6636

Properties of LCM 79 and 84

(i) The LCM of 84 and 79 is associative

LCM of 79 and 84 = LCM of 84 and 79

Related Least Common Multiples of 79

Related Least Common Multiples of 84

Frequently Asked Questions on LCM of 79 and 84

1. What is the LCM of 79 and 84?

Answer: LCM of 79 and 84 is 6636.

2. What are the Factors of 79?

Answer: Factors of 79 are 1, 79. There are 2 integers that are factors of 79. The greatest factor of 79 is 79.

3. 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.

4. How to Find the LCM of 79 and 84?

Answer:

Least Common Multiple of 79 and 84 = 6636

Step 1: Find the prime factorization of 79

79 = 79

Step 2: Find the prime factorization of 84

84 = 2 x 2 x 3 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 = 6636 = 2 x 2 x 3 x 7 x 79

Step 4: Therefore, the least common multiple of 79 and 84 is 6636.