Least Common Multiple of 3152 and 3158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3152 and 3158 the smallest integer that is 4977008 that is divisible by both numbers.

Least Common Multiple (LCM) of 3152 and 3158 is 4977008.

LCM(3152,3158) = 4977008

LCM of 3152 and 3158

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

LCM of:
and

Least Common Multiple of 3152 and 3158

LCM of 3152 and 3158 is 4977008

Least common multiple can be found by multiplying the highest exponent prime factors of 3152 and 3158. First we will calculate the prime factors of 3152 and 3158.

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

Prime Factorization of 3158


2 3158
1579 1579
1

Prime factors of 3158 are 2,1579. Prime factorization of 3158 in exponential form is:

3158 = 21×15791

Now multiplying the highest exponent prime factors to calculate the LCM of 3152 and 3158.

LCM(3152,3158) = 24×1971×15791
LCM(3152,3158) = 4977008

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

Factors of 3158

List of positive integer factors of 3158 that divides 3158 without a remainder.

1, 2, 1579, 3158

Least Common Multiple of 3152 and 3158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3152 and 3158, than apply into the LCM equation.

GCF(3152,3158) = 2
LCM(3152,3158) = ( 3152 × 3158) / 2
LCM(3152,3158) = 9954016 / 2
LCM(3152,3158) = 4977008

Properties of LCM 3152 and 3158

(i) The LCM of 3158 and 3152 is associative

LCM of 3152 and 3158 = LCM of 3158 and 3152

Related Least Common Multiples of 3152

Related Least Common Multiples of 3158

Frequently Asked Questions on LCM of 3152 and 3158

1. What is the LCM of 3152 and 3158?

Answer: LCM of 3152 and 3158 is 4977008.

2. 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.

3. What are the Factors of 3158?

Answer: Factors of 3158 are 1, 2, 1579, 3158. There are 4 integers that are factors of 3158. The greatest factor of 3158 is 3158.

4. How to Find the LCM of 3152 and 3158?

Answer:

Least Common Multiple of 3152 and 3158 = 4977008

Step 1: Find the prime factorization of 3152

3152 = 2 x 2 x 2 x 2 x 197

Step 2: Find the prime factorization of 3158

3158 = 2 x 1579

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

LCM = 4977008 = 2 x 2 x 2 x 2 x 197 x 1579

Step 4: Therefore, the least common multiple of 3152 and 3158 is 4977008.