Least Common Multiple of 9144 and 9151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9144 and 9151 the smallest integer that is 83676744 that is divisible by both numbers.

Least Common Multiple (LCM) of 9144 and 9151 is 83676744.

LCM(9144,9151) = 83676744

LCM of 9144 and 9151

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

LCM of:
and

Least Common Multiple of 9144 and 9151

LCM of 9144 and 9151 is 83676744

Least common multiple can be found by multiplying the highest exponent prime factors of 9144 and 9151. First we will calculate the prime factors of 9144 and 9151.

Prime Factorization of 9144


2 9144
2 4572
2 2286
3 1143
3 381
127 127
1

Prime factors of 9144 are 2, 3,127. Prime factorization of 9144 in exponential form is:

9144 = 23×32×1271

Prime Factorization of 9151


9151 9151
1

Prime factors of 9151 are 9151. Prime factorization of 9151 in exponential form is:

9151 = 91511

Now multiplying the highest exponent prime factors to calculate the LCM of 9144 and 9151.

LCM(9144,9151) = 23×32×1271×91511
LCM(9144,9151) = 83676744

Factors of 9144

List of positive integer factors of 9144 that divides 9144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 127, 254, 381, 508, 762, 1016, 1143, 1524, 2286, 3048, 4572, 9144

Factors of 9151

List of positive integer factors of 9151 that divides 9151 without a remainder.

1, 9151

Least Common Multiple of 9144 and 9151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9144 and 9151, than apply into the LCM equation.

GCF(9144,9151) = 1
LCM(9144,9151) = ( 9144 × 9151) / 1
LCM(9144,9151) = 83676744 / 1
LCM(9144,9151) = 83676744

Properties of LCM 9144 and 9151

(i) The LCM of 9151 and 9144 is associative

LCM of 9144 and 9151 = LCM of 9151 and 9144

Related Least Common Multiples of 9144

Related Least Common Multiples of 9151

Frequently Asked Questions on LCM of 9144 and 9151

1. What is the LCM of 9144 and 9151?

Answer: LCM of 9144 and 9151 is 83676744.

2. What are the Factors of 9144?

Answer: Factors of 9144 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 127, 254, 381, 508, 762, 1016, 1143, 1524, 2286, 3048, 4572, 9144. There are 24 integers that are factors of 9144. The greatest factor of 9144 is 9144.

3. What are the Factors of 9151?

Answer: Factors of 9151 are 1, 9151. There are 2 integers that are factors of 9151. The greatest factor of 9151 is 9151.

4. How to Find the LCM of 9144 and 9151?

Answer:

Least Common Multiple of 9144 and 9151 = 83676744

Step 1: Find the prime factorization of 9144

9144 = 2 x 2 x 2 x 3 x 3 x 127

Step 2: Find the prime factorization of 9151

9151 = 9151

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

LCM = 83676744 = 2 x 2 x 2 x 3 x 3 x 127 x 9151

Step 4: Therefore, the least common multiple of 9144 and 9151 is 83676744.