Least Common Multiple of 31480 and 31485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31480 and 31485 the smallest integer that is 198229560 that is divisible by both numbers.

Least Common Multiple (LCM) of 31480 and 31485 is 198229560.

LCM(31480,31485) = 198229560

LCM of 31480 and 31485

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

LCM of:
and

Least Common Multiple of 31480 and 31485

LCM of 31480 and 31485 is 198229560

Least common multiple can be found by multiplying the highest exponent prime factors of 31480 and 31485. First we will calculate the prime factors of 31480 and 31485.

Prime Factorization of 31480


2 31480
2 15740
2 7870
5 3935
787 787
1

Prime factors of 31480 are 2, 5,787. Prime factorization of 31480 in exponential form is:

31480 = 23×51×7871

Prime Factorization of 31485


3 31485
5 10495
2099 2099
1

Prime factors of 31485 are 3, 5,2099. Prime factorization of 31485 in exponential form is:

31485 = 31×51×20991

Now multiplying the highest exponent prime factors to calculate the LCM of 31480 and 31485.

LCM(31480,31485) = 23×31×51×7871×20991
LCM(31480,31485) = 198229560

Factors of 31480

List of positive integer factors of 31480 that divides 31480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 787, 1574, 3148, 3935, 6296, 7870, 15740, 31480

Factors of 31485

List of positive integer factors of 31485 that divides 31485 without a remainder.

1, 3, 5, 15, 2099, 6297, 10495, 31485

Least Common Multiple of 31480 and 31485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31480 and 31485, than apply into the LCM equation.

GCF(31480,31485) = 5
LCM(31480,31485) = ( 31480 × 31485) / 5
LCM(31480,31485) = 991147800 / 5
LCM(31480,31485) = 198229560

Properties of LCM 31480 and 31485

(i) The LCM of 31485 and 31480 is associative

LCM of 31480 and 31485 = LCM of 31485 and 31480

Related Least Common Multiples of 31480

Related Least Common Multiples of 31485

Frequently Asked Questions on LCM of 31480 and 31485

1. What is the LCM of 31480 and 31485?

Answer: LCM of 31480 and 31485 is 198229560.

2. What are the Factors of 31480?

Answer: Factors of 31480 are 1, 2, 4, 5, 8, 10, 20, 40, 787, 1574, 3148, 3935, 6296, 7870, 15740, 31480. There are 16 integers that are factors of 31480. The greatest factor of 31480 is 31480.

3. What are the Factors of 31485?

Answer: Factors of 31485 are 1, 3, 5, 15, 2099, 6297, 10495, 31485. There are 8 integers that are factors of 31485. The greatest factor of 31485 is 31485.

4. How to Find the LCM of 31480 and 31485?

Answer:

Least Common Multiple of 31480 and 31485 = 198229560

Step 1: Find the prime factorization of 31480

31480 = 2 x 2 x 2 x 5 x 787

Step 2: Find the prime factorization of 31485

31485 = 3 x 5 x 2099

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

LCM = 198229560 = 2 x 2 x 2 x 3 x 5 x 787 x 2099

Step 4: Therefore, the least common multiple of 31480 and 31485 is 198229560.