Least Common Multiple of 8479 and 8484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8479 and 8484 the smallest integer that is 71935836 that is divisible by both numbers.

Least Common Multiple (LCM) of 8479 and 8484 is 71935836.

LCM(8479,8484) = 71935836

LCM of 8479 and 8484

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

LCM of:
and

Least Common Multiple of 8479 and 8484

LCM of 8479 and 8484 is 71935836

Least common multiple can be found by multiplying the highest exponent prime factors of 8479 and 8484. First we will calculate the prime factors of 8479 and 8484.

Prime Factorization of 8479


61 8479
139 139
1

Prime factors of 8479 are 61,139. Prime factorization of 8479 in exponential form is:

8479 = 611×1391

Prime Factorization of 8484


2 8484
2 4242
3 2121
7 707
101 101
1

Prime factors of 8484 are 2, 3, 7,101. Prime factorization of 8484 in exponential form is:

8484 = 22×31×71×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 8479 and 8484.

LCM(8479,8484) = 22×31×71×611×1011×1391
LCM(8479,8484) = 71935836

Factors of 8479

List of positive integer factors of 8479 that divides 8479 without a remainder.

1, 61, 139, 8479

Factors of 8484

List of positive integer factors of 8484 that divides 8484 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242, 8484

Least Common Multiple of 8479 and 8484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8479 and 8484, than apply into the LCM equation.

GCF(8479,8484) = 1
LCM(8479,8484) = ( 8479 × 8484) / 1
LCM(8479,8484) = 71935836 / 1
LCM(8479,8484) = 71935836

Properties of LCM 8479 and 8484

(i) The LCM of 8484 and 8479 is associative

LCM of 8479 and 8484 = LCM of 8484 and 8479

Related Least Common Multiples of 8479

Related Least Common Multiples of 8484

Frequently Asked Questions on LCM of 8479 and 8484

1. What is the LCM of 8479 and 8484?

Answer: LCM of 8479 and 8484 is 71935836.

2. What are the Factors of 8479?

Answer: Factors of 8479 are 1, 61, 139, 8479. There are 4 integers that are factors of 8479. The greatest factor of 8479 is 8479.

3. What are the Factors of 8484?

Answer: Factors of 8484 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242, 8484. There are 24 integers that are factors of 8484. The greatest factor of 8484 is 8484.

4. How to Find the LCM of 8479 and 8484?

Answer:

Least Common Multiple of 8479 and 8484 = 71935836

Step 1: Find the prime factorization of 8479

8479 = 61 x 139

Step 2: Find the prime factorization of 8484

8484 = 2 x 2 x 3 x 7 x 101

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

LCM = 71935836 = 2 x 2 x 3 x 7 x 61 x 101 x 139

Step 4: Therefore, the least common multiple of 8479 and 8484 is 71935836.