Least Common Multiple of 8152 and 8159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8152 and 8159 the smallest integer that is 66512168 that is divisible by both numbers.

Least Common Multiple (LCM) of 8152 and 8159 is 66512168.

LCM(8152,8159) = 66512168

LCM of 8152 and 8159

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

LCM of:
and

Least Common Multiple of 8152 and 8159

LCM of 8152 and 8159 is 66512168

Least common multiple can be found by multiplying the highest exponent prime factors of 8152 and 8159. First we will calculate the prime factors of 8152 and 8159.

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

Prime Factorization of 8159


41 8159
199 199
1

Prime factors of 8159 are 41,199. Prime factorization of 8159 in exponential form is:

8159 = 411×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 8152 and 8159.

LCM(8152,8159) = 23×411×1991×10191
LCM(8152,8159) = 66512168

Factors of 8152

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

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

Factors of 8159

List of positive integer factors of 8159 that divides 8159 without a remainder.

1, 41, 199, 8159

Least Common Multiple of 8152 and 8159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8152 and 8159, than apply into the LCM equation.

GCF(8152,8159) = 1
LCM(8152,8159) = ( 8152 × 8159) / 1
LCM(8152,8159) = 66512168 / 1
LCM(8152,8159) = 66512168

Properties of LCM 8152 and 8159

(i) The LCM of 8159 and 8152 is associative

LCM of 8152 and 8159 = LCM of 8159 and 8152

Related Least Common Multiples of 8152

Related Least Common Multiples of 8159

Frequently Asked Questions on LCM of 8152 and 8159

1. What is the LCM of 8152 and 8159?

Answer: LCM of 8152 and 8159 is 66512168.

2. 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.

3. What are the Factors of 8159?

Answer: Factors of 8159 are 1, 41, 199, 8159. There are 4 integers that are factors of 8159. The greatest factor of 8159 is 8159.

4. How to Find the LCM of 8152 and 8159?

Answer:

Least Common Multiple of 8152 and 8159 = 66512168

Step 1: Find the prime factorization of 8152

8152 = 2 x 2 x 2 x 1019

Step 2: Find the prime factorization of 8159

8159 = 41 x 199

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

LCM = 66512168 = 2 x 2 x 2 x 41 x 199 x 1019

Step 4: Therefore, the least common multiple of 8152 and 8159 is 66512168.