Least Common Multiple of 8148 and 8152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8148 and 8152 the smallest integer that is 16605624 that is divisible by both numbers.

Least Common Multiple (LCM) of 8148 and 8152 is 16605624.

LCM(8148,8152) = 16605624

LCM of 8148 and 8152

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

LCM of:
and

Least Common Multiple of 8148 and 8152

LCM of 8148 and 8152 is 16605624

Least common multiple can be found by multiplying the highest exponent prime factors of 8148 and 8152. First we will calculate the prime factors of 8148 and 8152.

Prime Factorization of 8148


2 8148
2 4074
3 2037
7 679
97 97
1

Prime factors of 8148 are 2, 3, 7,97. Prime factorization of 8148 in exponential form is:

8148 = 22×31×71×971

Prime Factorization of 8152


2 8152
2 4076
2 2038
1019 1019
1

Prime factors of 8152 are 2,1019. Prime factorization of 8152 in exponential form is:

8152 = 23×10191

Now multiplying the highest exponent prime factors to calculate the LCM of 8148 and 8152.

LCM(8148,8152) = 23×31×71×971×10191
LCM(8148,8152) = 16605624

Factors of 8148

List of positive integer factors of 8148 that divides 8148 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148

Factors of 8152

List of positive integer factors of 8152 that divides 8152 without a remainder.

1, 2, 4, 8, 1019, 2038, 4076, 8152

Least Common Multiple of 8148 and 8152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8148 and 8152, than apply into the LCM equation.

GCF(8148,8152) = 4
LCM(8148,8152) = ( 8148 × 8152) / 4
LCM(8148,8152) = 66422496 / 4
LCM(8148,8152) = 16605624

Properties of LCM 8148 and 8152

(i) The LCM of 8152 and 8148 is associative

LCM of 8148 and 8152 = LCM of 8152 and 8148

Related Least Common Multiples of 8148

Related Least Common Multiples of 8152

Frequently Asked Questions on LCM of 8148 and 8152

1. What is the LCM of 8148 and 8152?

Answer: LCM of 8148 and 8152 is 16605624.

2. What are the Factors of 8148?

Answer: Factors of 8148 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148. There are 24 integers that are factors of 8148. The greatest factor of 8148 is 8148.

3. What are the Factors of 8152?

Answer: Factors of 8152 are 1, 2, 4, 8, 1019, 2038, 4076, 8152. There are 8 integers that are factors of 8152. The greatest factor of 8152 is 8152.

4. How to Find the LCM of 8148 and 8152?

Answer:

Least Common Multiple of 8148 and 8152 = 16605624

Step 1: Find the prime factorization of 8148

8148 = 2 x 2 x 3 x 7 x 97

Step 2: Find the prime factorization of 8152

8152 = 2 x 2 x 2 x 1019

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

LCM = 16605624 = 2 x 2 x 2 x 3 x 7 x 97 x 1019

Step 4: Therefore, the least common multiple of 8148 and 8152 is 16605624.