Least Common Multiple of 10148 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 10148 and 10152 the smallest integer that is 25755624 that is divisible by both numbers.

Least Common Multiple (LCM) of 10148 and 10152 is 25755624.

LCM(10148,10152) = 25755624

LCM of 10148 and 10152

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

LCM of:
and

Least Common Multiple of 10148 and 10152

LCM of 10148 and 10152 is 25755624

Least common multiple can be found by multiplying the highest exponent prime factors of 10148 and 10152. First we will calculate the prime factors of 10148 and 10152.

Prime Factorization of 10148


2 10148
2 5074
43 2537
59 59
1

Prime factors of 10148 are 2, 43,59. Prime factorization of 10148 in exponential form is:

10148 = 22×431×591

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 10148 and 10152.

LCM(10148,10152) = 23×33×431×471×591
LCM(10148,10152) = 25755624

Factors of 10148

List of positive integer factors of 10148 that divides 10148 without a remainder.

1, 2, 4, 43, 59, 86, 118, 172, 236, 2537, 5074, 10148

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 10148 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 10148 and 10152, than apply into the LCM equation.

GCF(10148,10152) = 4
LCM(10148,10152) = ( 10148 × 10152) / 4
LCM(10148,10152) = 103022496 / 4
LCM(10148,10152) = 25755624

Properties of LCM 10148 and 10152

(i) The LCM of 10152 and 10148 is associative

LCM of 10148 and 10152 = LCM of 10152 and 10148

Related Least Common Multiples of 10148

Related Least Common Multiples of 10152

Frequently Asked Questions on LCM of 10148 and 10152

1. What is the LCM of 10148 and 10152?

Answer: LCM of 10148 and 10152 is 25755624.

2. What are the Factors of 10148?

Answer: Factors of 10148 are 1, 2, 4, 43, 59, 86, 118, 172, 236, 2537, 5074, 10148. There are 12 integers that are factors of 10148. The greatest factor of 10148 is 10148.

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 10148 and 10152?

Answer:

Least Common Multiple of 10148 and 10152 = 25755624

Step 1: Find the prime factorization of 10148

10148 = 2 x 2 x 43 x 59

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 = 25755624 = 2 x 2 x 2 x 3 x 3 x 3 x 43 x 47 x 59

Step 4: Therefore, the least common multiple of 10148 and 10152 is 25755624.