Least Common Multiple of 31032 and 31038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31032 and 31038 the smallest integer that is 160528536 that is divisible by both numbers.

Least Common Multiple (LCM) of 31032 and 31038 is 160528536.

LCM(31032,31038) = 160528536

LCM of 31032 and 31038

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

LCM of:
and

Least Common Multiple of 31032 and 31038

LCM of 31032 and 31038 is 160528536

Least common multiple can be found by multiplying the highest exponent prime factors of 31032 and 31038. First we will calculate the prime factors of 31032 and 31038.

Prime Factorization of 31032


2 31032
2 15516
2 7758
3 3879
3 1293
431 431
1

Prime factors of 31032 are 2, 3,431. Prime factorization of 31032 in exponential form is:

31032 = 23×32×4311

Prime Factorization of 31038


2 31038
3 15519
7 5173
739 739
1

Prime factors of 31038 are 2, 3, 7,739. Prime factorization of 31038 in exponential form is:

31038 = 21×31×71×7391

Now multiplying the highest exponent prime factors to calculate the LCM of 31032 and 31038.

LCM(31032,31038) = 23×32×71×4311×7391
LCM(31032,31038) = 160528536

Factors of 31032

List of positive integer factors of 31032 that divides 31032 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 431, 862, 1293, 1724, 2586, 3448, 3879, 5172, 7758, 10344, 15516, 31032

Factors of 31038

List of positive integer factors of 31038 that divides 31038 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 739, 1478, 2217, 4434, 5173, 10346, 15519, 31038

Least Common Multiple of 31032 and 31038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31032 and 31038, than apply into the LCM equation.

GCF(31032,31038) = 6
LCM(31032,31038) = ( 31032 × 31038) / 6
LCM(31032,31038) = 963171216 / 6
LCM(31032,31038) = 160528536

Properties of LCM 31032 and 31038

(i) The LCM of 31038 and 31032 is associative

LCM of 31032 and 31038 = LCM of 31038 and 31032

Related Least Common Multiples of 31032

Related Least Common Multiples of 31038

Frequently Asked Questions on LCM of 31032 and 31038

1. What is the LCM of 31032 and 31038?

Answer: LCM of 31032 and 31038 is 160528536.

2. What are the Factors of 31032?

Answer: Factors of 31032 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 431, 862, 1293, 1724, 2586, 3448, 3879, 5172, 7758, 10344, 15516, 31032. There are 24 integers that are factors of 31032. The greatest factor of 31032 is 31032.

3. What are the Factors of 31038?

Answer: Factors of 31038 are 1, 2, 3, 6, 7, 14, 21, 42, 739, 1478, 2217, 4434, 5173, 10346, 15519, 31038. There are 16 integers that are factors of 31038. The greatest factor of 31038 is 31038.

4. How to Find the LCM of 31032 and 31038?

Answer:

Least Common Multiple of 31032 and 31038 = 160528536

Step 1: Find the prime factorization of 31032

31032 = 2 x 2 x 2 x 3 x 3 x 431

Step 2: Find the prime factorization of 31038

31038 = 2 x 3 x 7 x 739

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

LCM = 160528536 = 2 x 2 x 2 x 3 x 3 x 7 x 431 x 739

Step 4: Therefore, the least common multiple of 31032 and 31038 is 160528536.