Least Common Multiple of 31440 and 31448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31440 and 31448 the smallest integer that is 123590640 that is divisible by both numbers.

Least Common Multiple (LCM) of 31440 and 31448 is 123590640.

LCM(31440,31448) = 123590640

LCM of 31440 and 31448

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

LCM of:
and

Least Common Multiple of 31440 and 31448

LCM of 31440 and 31448 is 123590640

Least common multiple can be found by multiplying the highest exponent prime factors of 31440 and 31448. First we will calculate the prime factors of 31440 and 31448.

Prime Factorization of 31440


2 31440
2 15720
2 7860
2 3930
3 1965
5 655
131 131
1

Prime factors of 31440 are 2, 3, 5,131. Prime factorization of 31440 in exponential form is:

31440 = 24×31×51×1311

Prime Factorization of 31448


2 31448
2 15724
2 7862
3931 3931
1

Prime factors of 31448 are 2,3931. Prime factorization of 31448 in exponential form is:

31448 = 23×39311

Now multiplying the highest exponent prime factors to calculate the LCM of 31440 and 31448.

LCM(31440,31448) = 24×31×51×1311×39311
LCM(31440,31448) = 123590640

Factors of 31440

List of positive integer factors of 31440 that divides 31440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 131, 240, 262, 393, 524, 655, 786, 1048, 1310, 1572, 1965, 2096, 2620, 3144, 3930, 5240, 6288, 7860, 10480, 15720, 31440

Factors of 31448

List of positive integer factors of 31448 that divides 31448 without a remainder.

1, 2, 4, 8, 3931, 7862, 15724, 31448

Least Common Multiple of 31440 and 31448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31440 and 31448, than apply into the LCM equation.

GCF(31440,31448) = 8
LCM(31440,31448) = ( 31440 × 31448) / 8
LCM(31440,31448) = 988725120 / 8
LCM(31440,31448) = 123590640

Properties of LCM 31440 and 31448

(i) The LCM of 31448 and 31440 is associative

LCM of 31440 and 31448 = LCM of 31448 and 31440

Related Least Common Multiples of 31440

Related Least Common Multiples of 31448

Frequently Asked Questions on LCM of 31440 and 31448

1. What is the LCM of 31440 and 31448?

Answer: LCM of 31440 and 31448 is 123590640.

2. What are the Factors of 31440?

Answer: Factors of 31440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 131, 240, 262, 393, 524, 655, 786, 1048, 1310, 1572, 1965, 2096, 2620, 3144, 3930, 5240, 6288, 7860, 10480, 15720, 31440. There are 40 integers that are factors of 31440. The greatest factor of 31440 is 31440.

3. What are the Factors of 31448?

Answer: Factors of 31448 are 1, 2, 4, 8, 3931, 7862, 15724, 31448. There are 8 integers that are factors of 31448. The greatest factor of 31448 is 31448.

4. How to Find the LCM of 31440 and 31448?

Answer:

Least Common Multiple of 31440 and 31448 = 123590640

Step 1: Find the prime factorization of 31440

31440 = 2 x 2 x 2 x 2 x 3 x 5 x 131

Step 2: Find the prime factorization of 31448

31448 = 2 x 2 x 2 x 3931

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

LCM = 123590640 = 2 x 2 x 2 x 2 x 3 x 5 x 131 x 3931

Step 4: Therefore, the least common multiple of 31440 and 31448 is 123590640.