Least Common Multiple of 6153 and 6159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6153 and 6159 the smallest integer that is 12632109 that is divisible by both numbers.

Least Common Multiple (LCM) of 6153 and 6159 is 12632109.

LCM(6153,6159) = 12632109

LCM of 6153 and 6159

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

LCM of:
and

Least Common Multiple of 6153 and 6159

LCM of 6153 and 6159 is 12632109

Least common multiple can be found by multiplying the highest exponent prime factors of 6153 and 6159. First we will calculate the prime factors of 6153 and 6159.

Prime Factorization of 6153


3 6153
7 2051
293 293
1

Prime factors of 6153 are 3, 7,293. Prime factorization of 6153 in exponential form is:

6153 = 31×71×2931

Prime Factorization of 6159


3 6159
2053 2053
1

Prime factors of 6159 are 3,2053. Prime factorization of 6159 in exponential form is:

6159 = 31×20531

Now multiplying the highest exponent prime factors to calculate the LCM of 6153 and 6159.

LCM(6153,6159) = 31×71×2931×20531
LCM(6153,6159) = 12632109

Factors of 6153

List of positive integer factors of 6153 that divides 6153 without a remainder.

1, 3, 7, 21, 293, 879, 2051, 6153

Factors of 6159

List of positive integer factors of 6159 that divides 6159 without a remainder.

1, 3, 2053, 6159

Least Common Multiple of 6153 and 6159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6153 and 6159, than apply into the LCM equation.

GCF(6153,6159) = 3
LCM(6153,6159) = ( 6153 × 6159) / 3
LCM(6153,6159) = 37896327 / 3
LCM(6153,6159) = 12632109

Properties of LCM 6153 and 6159

(i) The LCM of 6159 and 6153 is associative

LCM of 6153 and 6159 = LCM of 6159 and 6153

Related Least Common Multiples of 6153

Related Least Common Multiples of 6159

Frequently Asked Questions on LCM of 6153 and 6159

1. What is the LCM of 6153 and 6159?

Answer: LCM of 6153 and 6159 is 12632109.

2. What are the Factors of 6153?

Answer: Factors of 6153 are 1, 3, 7, 21, 293, 879, 2051, 6153. There are 8 integers that are factors of 6153. The greatest factor of 6153 is 6153.

3. What are the Factors of 6159?

Answer: Factors of 6159 are 1, 3, 2053, 6159. There are 4 integers that are factors of 6159. The greatest factor of 6159 is 6159.

4. How to Find the LCM of 6153 and 6159?

Answer:

Least Common Multiple of 6153 and 6159 = 12632109

Step 1: Find the prime factorization of 6153

6153 = 3 x 7 x 293

Step 2: Find the prime factorization of 6159

6159 = 3 x 2053

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

LCM = 12632109 = 3 x 7 x 293 x 2053

Step 4: Therefore, the least common multiple of 6153 and 6159 is 12632109.