Least Common Multiple of 3144 and 3151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3144 and 3151 the smallest integer that is 9906744 that is divisible by both numbers.

Least Common Multiple (LCM) of 3144 and 3151 is 9906744.

LCM(3144,3151) = 9906744

LCM of 3144 and 3151

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

LCM of:
and

Least Common Multiple of 3144 and 3151

LCM of 3144 and 3151 is 9906744

Least common multiple can be found by multiplying the highest exponent prime factors of 3144 and 3151. First we will calculate the prime factors of 3144 and 3151.

Prime Factorization of 3144


2 3144
2 1572
2 786
3 393
131 131
1

Prime factors of 3144 are 2, 3,131. Prime factorization of 3144 in exponential form is:

3144 = 23×31×1311

Prime Factorization of 3151


23 3151
137 137
1

Prime factors of 3151 are 23,137. Prime factorization of 3151 in exponential form is:

3151 = 231×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 3144 and 3151.

LCM(3144,3151) = 23×31×231×1311×1371
LCM(3144,3151) = 9906744

Factors of 3144

List of positive integer factors of 3144 that divides 3144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 131, 262, 393, 524, 786, 1048, 1572, 3144

Factors of 3151

List of positive integer factors of 3151 that divides 3151 without a remainder.

1, 23, 137, 3151

Least Common Multiple of 3144 and 3151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3144 and 3151, than apply into the LCM equation.

GCF(3144,3151) = 1
LCM(3144,3151) = ( 3144 × 3151) / 1
LCM(3144,3151) = 9906744 / 1
LCM(3144,3151) = 9906744

Properties of LCM 3144 and 3151

(i) The LCM of 3151 and 3144 is associative

LCM of 3144 and 3151 = LCM of 3151 and 3144

Related Least Common Multiples of 3144

Related Least Common Multiples of 3151

Frequently Asked Questions on LCM of 3144 and 3151

1. What is the LCM of 3144 and 3151?

Answer: LCM of 3144 and 3151 is 9906744.

2. What are the Factors of 3144?

Answer: Factors of 3144 are 1, 2, 3, 4, 6, 8, 12, 24, 131, 262, 393, 524, 786, 1048, 1572, 3144. There are 16 integers that are factors of 3144. The greatest factor of 3144 is 3144.

3. What are the Factors of 3151?

Answer: Factors of 3151 are 1, 23, 137, 3151. There are 4 integers that are factors of 3151. The greatest factor of 3151 is 3151.

4. How to Find the LCM of 3144 and 3151?

Answer:

Least Common Multiple of 3144 and 3151 = 9906744

Step 1: Find the prime factorization of 3144

3144 = 2 x 2 x 2 x 3 x 131

Step 2: Find the prime factorization of 3151

3151 = 23 x 137

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

LCM = 9906744 = 2 x 2 x 2 x 3 x 23 x 131 x 137

Step 4: Therefore, the least common multiple of 3144 and 3151 is 9906744.