Least Common Multiple of 8478 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 8478 and 8480 the smallest integer that is 35946720 that is divisible by both numbers.

Least Common Multiple (LCM) of 8478 and 8480 is 35946720.

LCM(8478,8480) = 35946720

LCM of 8478 and 8480

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

LCM of:
and

Least Common Multiple of 8478 and 8480

LCM of 8478 and 8480 is 35946720

Least common multiple can be found by multiplying the highest exponent prime factors of 8478 and 8480. First we will calculate the prime factors of 8478 and 8480.

Prime Factorization of 8478


2 8478
3 4239
3 1413
3 471
157 157
1

Prime factors of 8478 are 2, 3,157. Prime factorization of 8478 in exponential form is:

8478 = 21×33×1571

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 8478 and 8480.

LCM(8478,8480) = 25×33×51×531×1571
LCM(8478,8480) = 35946720

Factors of 8478

List of positive integer factors of 8478 that divides 8478 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 157, 314, 471, 942, 1413, 2826, 4239, 8478

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 8478 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 8478 and 8480, than apply into the LCM equation.

GCF(8478,8480) = 2
LCM(8478,8480) = ( 8478 × 8480) / 2
LCM(8478,8480) = 71893440 / 2
LCM(8478,8480) = 35946720

Properties of LCM 8478 and 8480

(i) The LCM of 8480 and 8478 is associative

LCM of 8478 and 8480 = LCM of 8480 and 8478

Related Least Common Multiples of 8478

Related Least Common Multiples of 8480

Frequently Asked Questions on LCM of 8478 and 8480

1. What is the LCM of 8478 and 8480?

Answer: LCM of 8478 and 8480 is 35946720.

2. What are the Factors of 8478?

Answer: Factors of 8478 are 1, 2, 3, 6, 9, 18, 27, 54, 157, 314, 471, 942, 1413, 2826, 4239, 8478. There are 16 integers that are factors of 8478. The greatest factor of 8478 is 8478.

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 8478 and 8480?

Answer:

Least Common Multiple of 8478 and 8480 = 35946720

Step 1: Find the prime factorization of 8478

8478 = 2 x 3 x 3 x 3 x 157

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 = 35946720 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 53 x 157

Step 4: Therefore, the least common multiple of 8478 and 8480 is 35946720.