Least Common Multiple of 10475 and 10480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10475 and 10480 the smallest integer that is 21955600 that is divisible by both numbers.

Least Common Multiple (LCM) of 10475 and 10480 is 21955600.

LCM(10475,10480) = 21955600

LCM of 10475 and 10480

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

LCM of:
and

Least Common Multiple of 10475 and 10480

LCM of 10475 and 10480 is 21955600

Least common multiple can be found by multiplying the highest exponent prime factors of 10475 and 10480. First we will calculate the prime factors of 10475 and 10480.

Prime Factorization of 10475


5 10475
5 2095
419 419
1

Prime factors of 10475 are 5,419. Prime factorization of 10475 in exponential form is:

10475 = 52×4191

Prime Factorization of 10480


2 10480
2 5240
2 2620
2 1310
5 655
131 131
1

Prime factors of 10480 are 2, 5,131. Prime factorization of 10480 in exponential form is:

10480 = 24×51×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 10475 and 10480.

LCM(10475,10480) = 24×52×1311×4191
LCM(10475,10480) = 21955600

Factors of 10475

List of positive integer factors of 10475 that divides 10475 without a remainder.

1, 5, 25, 419, 2095, 10475

Factors of 10480

List of positive integer factors of 10480 that divides 10480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 131, 262, 524, 655, 1048, 1310, 2096, 2620, 5240, 10480

Least Common Multiple of 10475 and 10480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10475 and 10480, than apply into the LCM equation.

GCF(10475,10480) = 5
LCM(10475,10480) = ( 10475 × 10480) / 5
LCM(10475,10480) = 109778000 / 5
LCM(10475,10480) = 21955600

Properties of LCM 10475 and 10480

(i) The LCM of 10480 and 10475 is associative

LCM of 10475 and 10480 = LCM of 10480 and 10475

Related Least Common Multiples of 10475

Related Least Common Multiples of 10480

Frequently Asked Questions on LCM of 10475 and 10480

1. What is the LCM of 10475 and 10480?

Answer: LCM of 10475 and 10480 is 21955600.

2. What are the Factors of 10475?

Answer: Factors of 10475 are 1, 5, 25, 419, 2095, 10475. There are 6 integers that are factors of 10475. The greatest factor of 10475 is 10475.

3. What are the Factors of 10480?

Answer: Factors of 10480 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 131, 262, 524, 655, 1048, 1310, 2096, 2620, 5240, 10480. There are 20 integers that are factors of 10480. The greatest factor of 10480 is 10480.

4. How to Find the LCM of 10475 and 10480?

Answer:

Least Common Multiple of 10475 and 10480 = 21955600

Step 1: Find the prime factorization of 10475

10475 = 5 x 5 x 419

Step 2: Find the prime factorization of 10480

10480 = 2 x 2 x 2 x 2 x 5 x 131

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

LCM = 21955600 = 2 x 2 x 2 x 2 x 5 x 5 x 131 x 419

Step 4: Therefore, the least common multiple of 10475 and 10480 is 21955600.