Least Common Multiple of 10148 and 10153

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 10153 the smallest integer that is 103032644 that is divisible by both numbers.

Least Common Multiple (LCM) of 10148 and 10153 is 103032644.

LCM(10148,10153) = 103032644

LCM of 10148 and 10153

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

LCM of:
and

Least Common Multiple of 10148 and 10153

LCM of 10148 and 10153 is 103032644

Least common multiple can be found by multiplying the highest exponent prime factors of 10148 and 10153. First we will calculate the prime factors of 10148 and 10153.

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 10153


11 10153
13 923
71 71
1

Prime factors of 10153 are 11, 13,71. Prime factorization of 10153 in exponential form is:

10153 = 111×131×711

Now multiplying the highest exponent prime factors to calculate the LCM of 10148 and 10153.

LCM(10148,10153) = 22×111×131×431×591×711
LCM(10148,10153) = 103032644

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 10153

List of positive integer factors of 10153 that divides 10153 without a remainder.

1, 11, 13, 71, 143, 781, 923, 10153

Least Common Multiple of 10148 and 10153 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 10153, than apply into the LCM equation.

GCF(10148,10153) = 1
LCM(10148,10153) = ( 10148 × 10153) / 1
LCM(10148,10153) = 103032644 / 1
LCM(10148,10153) = 103032644

Properties of LCM 10148 and 10153

(i) The LCM of 10153 and 10148 is associative

LCM of 10148 and 10153 = LCM of 10153 and 10148

Related Least Common Multiples of 10148

Related Least Common Multiples of 10153

Frequently Asked Questions on LCM of 10148 and 10153

1. What is the LCM of 10148 and 10153?

Answer: LCM of 10148 and 10153 is 103032644.

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 10153?

Answer: Factors of 10153 are 1, 11, 13, 71, 143, 781, 923, 10153. There are 8 integers that are factors of 10153. The greatest factor of 10153 is 10153.

4. How to Find the LCM of 10148 and 10153?

Answer:

Least Common Multiple of 10148 and 10153 = 103032644

Step 1: Find the prime factorization of 10148

10148 = 2 x 2 x 43 x 59

Step 2: Find the prime factorization of 10153

10153 = 11 x 13 x 71

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

LCM = 103032644 = 2 x 2 x 11 x 13 x 43 x 59 x 71

Step 4: Therefore, the least common multiple of 10148 and 10153 is 103032644.