Least Common Multiple of 30024 and 30032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 30024 and 30032 the smallest integer that is 112710096 that is divisible by both numbers.

Least Common Multiple (LCM) of 30024 and 30032 is 112710096.

LCM(30024,30032) = 112710096

LCM of 30024 and 30032

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

LCM of:
and

Least Common Multiple of 30024 and 30032

LCM of 30024 and 30032 is 112710096

Least common multiple can be found by multiplying the highest exponent prime factors of 30024 and 30032. First we will calculate the prime factors of 30024 and 30032.

Prime Factorization of 30024


2 30024
2 15012
2 7506
3 3753
3 1251
3 417
139 139
1

Prime factors of 30024 are 2, 3,139. Prime factorization of 30024 in exponential form is:

30024 = 23×33×1391

Prime Factorization of 30032


2 30032
2 15016
2 7508
2 3754
1877 1877
1

Prime factors of 30032 are 2,1877. Prime factorization of 30032 in exponential form is:

30032 = 24×18771

Now multiplying the highest exponent prime factors to calculate the LCM of 30024 and 30032.

LCM(30024,30032) = 24×33×1391×18771
LCM(30024,30032) = 112710096

Factors of 30024

List of positive integer factors of 30024 that divides 30024 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 139, 216, 278, 417, 556, 834, 1112, 1251, 1668, 2502, 3336, 3753, 5004, 7506, 10008, 15012, 30024

Factors of 30032

List of positive integer factors of 30032 that divides 30032 without a remainder.

1, 2, 4, 8, 16, 1877, 3754, 7508, 15016, 30032

Least Common Multiple of 30024 and 30032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30024 and 30032, than apply into the LCM equation.

GCF(30024,30032) = 8
LCM(30024,30032) = ( 30024 × 30032) / 8
LCM(30024,30032) = 901680768 / 8
LCM(30024,30032) = 112710096

Properties of LCM 30024 and 30032

(i) The LCM of 30032 and 30024 is associative

LCM of 30024 and 30032 = LCM of 30032 and 30024

Related Least Common Multiples of 30024

Related Least Common Multiples of 30032

Frequently Asked Questions on LCM of 30024 and 30032

1. What is the LCM of 30024 and 30032?

Answer: LCM of 30024 and 30032 is 112710096.

2. What are the Factors of 30024?

Answer: Factors of 30024 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 139, 216, 278, 417, 556, 834, 1112, 1251, 1668, 2502, 3336, 3753, 5004, 7506, 10008, 15012, 30024. There are 32 integers that are factors of 30024. The greatest factor of 30024 is 30024.

3. What are the Factors of 30032?

Answer: Factors of 30032 are 1, 2, 4, 8, 16, 1877, 3754, 7508, 15016, 30032. There are 10 integers that are factors of 30032. The greatest factor of 30032 is 30032.

4. How to Find the LCM of 30024 and 30032?

Answer:

Least Common Multiple of 30024 and 30032 = 112710096

Step 1: Find the prime factorization of 30024

30024 = 2 x 2 x 2 x 3 x 3 x 3 x 139

Step 2: Find the prime factorization of 30032

30032 = 2 x 2 x 2 x 2 x 1877

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

LCM = 112710096 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 139 x 1877

Step 4: Therefore, the least common multiple of 30024 and 30032 is 112710096.