Least Common Multiple of 3144 and 3152

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 3152 the smallest integer that is 1238736 that is divisible by both numbers.

Least Common Multiple (LCM) of 3144 and 3152 is 1238736.

LCM(3144,3152) = 1238736

LCM of 3144 and 3152

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

LCM of:
and

Least Common Multiple of 3144 and 3152

LCM of 3144 and 3152 is 1238736

Least common multiple can be found by multiplying the highest exponent prime factors of 3144 and 3152. First we will calculate the prime factors of 3144 and 3152.

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 3152


2 3152
2 1576
2 788
2 394
197 197
1

Prime factors of 3152 are 2,197. Prime factorization of 3152 in exponential form is:

3152 = 24×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 3144 and 3152.

LCM(3144,3152) = 24×31×1311×1971
LCM(3144,3152) = 1238736

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 3152

List of positive integer factors of 3152 that divides 3152 without a remainder.

1, 2, 4, 8, 16, 197, 394, 788, 1576, 3152

Least Common Multiple of 3144 and 3152 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 3152, than apply into the LCM equation.

GCF(3144,3152) = 8
LCM(3144,3152) = ( 3144 × 3152) / 8
LCM(3144,3152) = 9909888 / 8
LCM(3144,3152) = 1238736

Properties of LCM 3144 and 3152

(i) The LCM of 3152 and 3144 is associative

LCM of 3144 and 3152 = LCM of 3152 and 3144

Related Least Common Multiples of 3144

Related Least Common Multiples of 3152

Frequently Asked Questions on LCM of 3144 and 3152

1. What is the LCM of 3144 and 3152?

Answer: LCM of 3144 and 3152 is 1238736.

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 3152?

Answer: Factors of 3152 are 1, 2, 4, 8, 16, 197, 394, 788, 1576, 3152. There are 10 integers that are factors of 3152. The greatest factor of 3152 is 3152.

4. How to Find the LCM of 3144 and 3152?

Answer:

Least Common Multiple of 3144 and 3152 = 1238736

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 3152

3152 = 2 x 2 x 2 x 2 x 197

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

LCM = 1238736 = 2 x 2 x 2 x 2 x 3 x 131 x 197

Step 4: Therefore, the least common multiple of 3144 and 3152 is 1238736.