Least Common Multiple of 9153 and 9159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9153 and 9159 the smallest integer that is 27944109 that is divisible by both numbers.

Least Common Multiple (LCM) of 9153 and 9159 is 27944109.

LCM(9153,9159) = 27944109

LCM of 9153 and 9159

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

LCM of:
and

Least Common Multiple of 9153 and 9159

LCM of 9153 and 9159 is 27944109

Least common multiple can be found by multiplying the highest exponent prime factors of 9153 and 9159. First we will calculate the prime factors of 9153 and 9159.

Prime Factorization of 9153


3 9153
3 3051
3 1017
3 339
113 113
1

Prime factors of 9153 are 3,113. Prime factorization of 9153 in exponential form is:

9153 = 34×1131

Prime Factorization of 9159


3 9159
43 3053
71 71
1

Prime factors of 9159 are 3, 43,71. Prime factorization of 9159 in exponential form is:

9159 = 31×431×711

Now multiplying the highest exponent prime factors to calculate the LCM of 9153 and 9159.

LCM(9153,9159) = 34×431×711×1131
LCM(9153,9159) = 27944109

Factors of 9153

List of positive integer factors of 9153 that divides 9153 without a remainder.

1, 3, 9, 27, 81, 113, 339, 1017, 3051, 9153

Factors of 9159

List of positive integer factors of 9159 that divides 9159 without a remainder.

1, 3, 43, 71, 129, 213, 3053, 9159

Least Common Multiple of 9153 and 9159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9153 and 9159, than apply into the LCM equation.

GCF(9153,9159) = 3
LCM(9153,9159) = ( 9153 × 9159) / 3
LCM(9153,9159) = 83832327 / 3
LCM(9153,9159) = 27944109

Properties of LCM 9153 and 9159

(i) The LCM of 9159 and 9153 is associative

LCM of 9153 and 9159 = LCM of 9159 and 9153

Related Least Common Multiples of 9153

Related Least Common Multiples of 9159

Frequently Asked Questions on LCM of 9153 and 9159

1. What is the LCM of 9153 and 9159?

Answer: LCM of 9153 and 9159 is 27944109.

2. What are the Factors of 9153?

Answer: Factors of 9153 are 1, 3, 9, 27, 81, 113, 339, 1017, 3051, 9153. There are 10 integers that are factors of 9153. The greatest factor of 9153 is 9153.

3. What are the Factors of 9159?

Answer: Factors of 9159 are 1, 3, 43, 71, 129, 213, 3053, 9159. There are 8 integers that are factors of 9159. The greatest factor of 9159 is 9159.

4. How to Find the LCM of 9153 and 9159?

Answer:

Least Common Multiple of 9153 and 9159 = 27944109

Step 1: Find the prime factorization of 9153

9153 = 3 x 3 x 3 x 3 x 113

Step 2: Find the prime factorization of 9159

9159 = 3 x 43 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 = 27944109 = 3 x 3 x 3 x 3 x 43 x 71 x 113

Step 4: Therefore, the least common multiple of 9153 and 9159 is 27944109.