Least Common Multiple of 8477 and 8480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8477 and 8480 the smallest integer that is 71884960 that is divisible by both numbers.

Least Common Multiple (LCM) of 8477 and 8480 is 71884960.

LCM(8477,8480) = 71884960

LCM of 8477 and 8480

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

LCM of:
and

Least Common Multiple of 8477 and 8480

LCM of 8477 and 8480 is 71884960

Least common multiple can be found by multiplying the highest exponent prime factors of 8477 and 8480. First we will calculate the prime factors of 8477 and 8480.

Prime Factorization of 8477


7 8477
7 1211
173 173
1

Prime factors of 8477 are 7,173. Prime factorization of 8477 in exponential form is:

8477 = 72×1731

Prime Factorization of 8480


2 8480
2 4240
2 2120
2 1060
2 530
5 265
53 53
1

Prime factors of 8480 are 2, 5,53. Prime factorization of 8480 in exponential form is:

8480 = 25×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 8477 and 8480.

LCM(8477,8480) = 25×51×72×531×1731
LCM(8477,8480) = 71884960

Factors of 8477

List of positive integer factors of 8477 that divides 8477 without a remainder.

1, 7, 49, 173, 1211, 8477

Factors of 8480

List of positive integer factors of 8480 that divides 8480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 80, 106, 160, 212, 265, 424, 530, 848, 1060, 1696, 2120, 4240, 8480

Least Common Multiple of 8477 and 8480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8477 and 8480, than apply into the LCM equation.

GCF(8477,8480) = 1
LCM(8477,8480) = ( 8477 × 8480) / 1
LCM(8477,8480) = 71884960 / 1
LCM(8477,8480) = 71884960

Properties of LCM 8477 and 8480

(i) The LCM of 8480 and 8477 is associative

LCM of 8477 and 8480 = LCM of 8480 and 8477

Related Least Common Multiples of 8477

Related Least Common Multiples of 8480

Frequently Asked Questions on LCM of 8477 and 8480

1. What is the LCM of 8477 and 8480?

Answer: LCM of 8477 and 8480 is 71884960.

2. What are the Factors of 8477?

Answer: Factors of 8477 are 1, 7, 49, 173, 1211, 8477. There are 6 integers that are factors of 8477. The greatest factor of 8477 is 8477.

3. What are the Factors of 8480?

Answer: Factors of 8480 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 80, 106, 160, 212, 265, 424, 530, 848, 1060, 1696, 2120, 4240, 8480. There are 24 integers that are factors of 8480. The greatest factor of 8480 is 8480.

4. How to Find the LCM of 8477 and 8480?

Answer:

Least Common Multiple of 8477 and 8480 = 71884960

Step 1: Find the prime factorization of 8477

8477 = 7 x 7 x 173

Step 2: Find the prime factorization of 8480

8480 = 2 x 2 x 2 x 2 x 2 x 5 x 53

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

LCM = 71884960 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 7 x 53 x 173

Step 4: Therefore, the least common multiple of 8477 and 8480 is 71884960.