Least Common Multiple of 10144 and 10152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10144 and 10152 the smallest integer that is 12872736 that is divisible by both numbers.

Least Common Multiple (LCM) of 10144 and 10152 is 12872736.

LCM(10144,10152) = 12872736

LCM of 10144 and 10152

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

LCM of:
and

Least Common Multiple of 10144 and 10152

LCM of 10144 and 10152 is 12872736

Least common multiple can be found by multiplying the highest exponent prime factors of 10144 and 10152. First we will calculate the prime factors of 10144 and 10152.

Prime Factorization of 10144


2 10144
2 5072
2 2536
2 1268
2 634
317 317
1

Prime factors of 10144 are 2,317. Prime factorization of 10144 in exponential form is:

10144 = 25×3171

Prime Factorization of 10152


2 10152
2 5076
2 2538
3 1269
3 423
3 141
47 47
1

Prime factors of 10152 are 2, 3,47. Prime factorization of 10152 in exponential form is:

10152 = 23×33×471

Now multiplying the highest exponent prime factors to calculate the LCM of 10144 and 10152.

LCM(10144,10152) = 25×33×471×3171
LCM(10144,10152) = 12872736

Factors of 10144

List of positive integer factors of 10144 that divides 10144 without a remainder.

1, 2, 4, 8, 16, 32, 317, 634, 1268, 2536, 5072, 10144

Factors of 10152

List of positive integer factors of 10152 that divides 10152 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 47, 54, 72, 94, 108, 141, 188, 216, 282, 376, 423, 564, 846, 1128, 1269, 1692, 2538, 3384, 5076, 10152

Least Common Multiple of 10144 and 10152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10144 and 10152, than apply into the LCM equation.

GCF(10144,10152) = 8
LCM(10144,10152) = ( 10144 × 10152) / 8
LCM(10144,10152) = 102981888 / 8
LCM(10144,10152) = 12872736

Properties of LCM 10144 and 10152

(i) The LCM of 10152 and 10144 is associative

LCM of 10144 and 10152 = LCM of 10152 and 10144

Related Least Common Multiples of 10144

Related Least Common Multiples of 10152

Frequently Asked Questions on LCM of 10144 and 10152

1. What is the LCM of 10144 and 10152?

Answer: LCM of 10144 and 10152 is 12872736.

2. What are the Factors of 10144?

Answer: Factors of 10144 are 1, 2, 4, 8, 16, 32, 317, 634, 1268, 2536, 5072, 10144. There are 12 integers that are factors of 10144. The greatest factor of 10144 is 10144.

3. What are the Factors of 10152?

Answer: Factors of 10152 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 47, 54, 72, 94, 108, 141, 188, 216, 282, 376, 423, 564, 846, 1128, 1269, 1692, 2538, 3384, 5076, 10152. There are 32 integers that are factors of 10152. The greatest factor of 10152 is 10152.

4. How to Find the LCM of 10144 and 10152?

Answer:

Least Common Multiple of 10144 and 10152 = 12872736

Step 1: Find the prime factorization of 10144

10144 = 2 x 2 x 2 x 2 x 2 x 317

Step 2: Find the prime factorization of 10152

10152 = 2 x 2 x 2 x 3 x 3 x 3 x 47

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

LCM = 12872736 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 47 x 317

Step 4: Therefore, the least common multiple of 10144 and 10152 is 12872736.