Least Common Multiple of 10145 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 10145 and 10152 the smallest integer that is 102992040 that is divisible by both numbers.

Least Common Multiple (LCM) of 10145 and 10152 is 102992040.

LCM(10145,10152) = 102992040

LCM of 10145 and 10152

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

LCM of:
and

Least Common Multiple of 10145 and 10152

LCM of 10145 and 10152 is 102992040

Least common multiple can be found by multiplying the highest exponent prime factors of 10145 and 10152. First we will calculate the prime factors of 10145 and 10152.

Prime Factorization of 10145


5 10145
2029 2029
1

Prime factors of 10145 are 5,2029. Prime factorization of 10145 in exponential form is:

10145 = 51×20291

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 10145 and 10152.

LCM(10145,10152) = 23×33×51×471×20291
LCM(10145,10152) = 102992040

Factors of 10145

List of positive integer factors of 10145 that divides 10145 without a remainder.

1, 5, 2029, 10145

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 10145 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 10145 and 10152, than apply into the LCM equation.

GCF(10145,10152) = 1
LCM(10145,10152) = ( 10145 × 10152) / 1
LCM(10145,10152) = 102992040 / 1
LCM(10145,10152) = 102992040

Properties of LCM 10145 and 10152

(i) The LCM of 10152 and 10145 is associative

LCM of 10145 and 10152 = LCM of 10152 and 10145

Related Least Common Multiples of 10145

Related Least Common Multiples of 10152

Frequently Asked Questions on LCM of 10145 and 10152

1. What is the LCM of 10145 and 10152?

Answer: LCM of 10145 and 10152 is 102992040.

2. What are the Factors of 10145?

Answer: Factors of 10145 are 1, 5, 2029, 10145. There are 4 integers that are factors of 10145. The greatest factor of 10145 is 10145.

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 10145 and 10152?

Answer:

Least Common Multiple of 10145 and 10152 = 102992040

Step 1: Find the prime factorization of 10145

10145 = 5 x 2029

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 = 102992040 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 47 x 2029

Step 4: Therefore, the least common multiple of 10145 and 10152 is 102992040.