Least Common Multiple of 31472 and 31480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31472 and 31480 the smallest integer that is 123842320 that is divisible by both numbers.

Least Common Multiple (LCM) of 31472 and 31480 is 123842320.

LCM(31472,31480) = 123842320

LCM of 31472 and 31480

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

LCM of:
and

Least Common Multiple of 31472 and 31480

LCM of 31472 and 31480 is 123842320

Least common multiple can be found by multiplying the highest exponent prime factors of 31472 and 31480. First we will calculate the prime factors of 31472 and 31480.

Prime Factorization of 31472


2 31472
2 15736
2 7868
2 3934
7 1967
281 281
1

Prime factors of 31472 are 2, 7,281. Prime factorization of 31472 in exponential form is:

31472 = 24×71×2811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 31472 and 31480.

LCM(31472,31480) = 24×51×71×2811×7871
LCM(31472,31480) = 123842320

Factors of 31472

List of positive integer factors of 31472 that divides 31472 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 281, 562, 1124, 1967, 2248, 3934, 4496, 7868, 15736, 31472

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

Least Common Multiple of 31472 and 31480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31472 and 31480, than apply into the LCM equation.

GCF(31472,31480) = 8
LCM(31472,31480) = ( 31472 × 31480) / 8
LCM(31472,31480) = 990738560 / 8
LCM(31472,31480) = 123842320

Properties of LCM 31472 and 31480

(i) The LCM of 31480 and 31472 is associative

LCM of 31472 and 31480 = LCM of 31480 and 31472

Related Least Common Multiples of 31472

Related Least Common Multiples of 31480

Frequently Asked Questions on LCM of 31472 and 31480

1. What is the LCM of 31472 and 31480?

Answer: LCM of 31472 and 31480 is 123842320.

2. What are the Factors of 31472?

Answer: Factors of 31472 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 281, 562, 1124, 1967, 2248, 3934, 4496, 7868, 15736, 31472. There are 20 integers that are factors of 31472. The greatest factor of 31472 is 31472.

3. 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.

4. How to Find the LCM of 31472 and 31480?

Answer:

Least Common Multiple of 31472 and 31480 = 123842320

Step 1: Find the prime factorization of 31472

31472 = 2 x 2 x 2 x 2 x 7 x 281

Step 2: Find the prime factorization of 31480

31480 = 2 x 2 x 2 x 5 x 787

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

LCM = 123842320 = 2 x 2 x 2 x 2 x 5 x 7 x 281 x 787

Step 4: Therefore, the least common multiple of 31472 and 31480 is 123842320.