Least Common Multiple of 31464 and 31468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31464 and 31468 the smallest integer that is 247527288 that is divisible by both numbers.

Least Common Multiple (LCM) of 31464 and 31468 is 247527288.

LCM(31464,31468) = 247527288

LCM of 31464 and 31468

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

LCM of:
and

Least Common Multiple of 31464 and 31468

LCM of 31464 and 31468 is 247527288

Least common multiple can be found by multiplying the highest exponent prime factors of 31464 and 31468. First we will calculate the prime factors of 31464 and 31468.

Prime Factorization of 31464


2 31464
2 15732
2 7866
3 3933
3 1311
19 437
23 23
1

Prime factors of 31464 are 2, 3, 19,23. Prime factorization of 31464 in exponential form is:

31464 = 23×32×191×231

Prime Factorization of 31468


2 31468
2 15734
7867 7867
1

Prime factors of 31468 are 2,7867. Prime factorization of 31468 in exponential form is:

31468 = 22×78671

Now multiplying the highest exponent prime factors to calculate the LCM of 31464 and 31468.

LCM(31464,31468) = 23×32×191×231×78671
LCM(31464,31468) = 247527288

Factors of 31464

List of positive integer factors of 31464 that divides 31464 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 23, 24, 36, 38, 46, 57, 69, 72, 76, 92, 114, 138, 152, 171, 184, 207, 228, 276, 342, 414, 437, 456, 552, 684, 828, 874, 1311, 1368, 1656, 1748, 2622, 3496, 3933, 5244, 7866, 10488, 15732, 31464

Factors of 31468

List of positive integer factors of 31468 that divides 31468 without a remainder.

1, 2, 4, 7867, 15734, 31468

Least Common Multiple of 31464 and 31468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31464 and 31468, than apply into the LCM equation.

GCF(31464,31468) = 4
LCM(31464,31468) = ( 31464 × 31468) / 4
LCM(31464,31468) = 990109152 / 4
LCM(31464,31468) = 247527288

Properties of LCM 31464 and 31468

(i) The LCM of 31468 and 31464 is associative

LCM of 31464 and 31468 = LCM of 31468 and 31464

Related Least Common Multiples of 31464

Related Least Common Multiples of 31468

Frequently Asked Questions on LCM of 31464 and 31468

1. What is the LCM of 31464 and 31468?

Answer: LCM of 31464 and 31468 is 247527288.

2. What are the Factors of 31464?

Answer: Factors of 31464 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 23, 24, 36, 38, 46, 57, 69, 72, 76, 92, 114, 138, 152, 171, 184, 207, 228, 276, 342, 414, 437, 456, 552, 684, 828, 874, 1311, 1368, 1656, 1748, 2622, 3496, 3933, 5244, 7866, 10488, 15732, 31464. There are 48 integers that are factors of 31464. The greatest factor of 31464 is 31464.

3. What are the Factors of 31468?

Answer: Factors of 31468 are 1, 2, 4, 7867, 15734, 31468. There are 6 integers that are factors of 31468. The greatest factor of 31468 is 31468.

4. How to Find the LCM of 31464 and 31468?

Answer:

Least Common Multiple of 31464 and 31468 = 247527288

Step 1: Find the prime factorization of 31464

31464 = 2 x 2 x 2 x 3 x 3 x 19 x 23

Step 2: Find the prime factorization of 31468

31468 = 2 x 2 x 7867

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

LCM = 247527288 = 2 x 2 x 2 x 3 x 3 x 19 x 23 x 7867

Step 4: Therefore, the least common multiple of 31464 and 31468 is 247527288.