Least Common Multiple of 3152 and 3156

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 3156 the smallest integer that is 2486928 that is divisible by both numbers.

Least Common Multiple (LCM) of 3152 and 3156 is 2486928.

LCM(3152,3156) = 2486928

LCM of 3152 and 3156

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

LCM of:
and

Least Common Multiple of 3152 and 3156

LCM of 3152 and 3156 is 2486928

Least common multiple can be found by multiplying the highest exponent prime factors of 3152 and 3156. First we will calculate the prime factors of 3152 and 3156.

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 3156


2 3156
2 1578
3 789
263 263
1

Prime factors of 3156 are 2, 3,263. Prime factorization of 3156 in exponential form is:

3156 = 22×31×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 3152 and 3156.

LCM(3152,3156) = 24×31×1971×2631
LCM(3152,3156) = 2486928

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 3156

List of positive integer factors of 3156 that divides 3156 without a remainder.

1, 2, 3, 4, 6, 12, 263, 526, 789, 1052, 1578, 3156

Least Common Multiple of 3152 and 3156 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 3156, than apply into the LCM equation.

GCF(3152,3156) = 4
LCM(3152,3156) = ( 3152 × 3156) / 4
LCM(3152,3156) = 9947712 / 4
LCM(3152,3156) = 2486928

Properties of LCM 3152 and 3156

(i) The LCM of 3156 and 3152 is associative

LCM of 3152 and 3156 = LCM of 3156 and 3152

Related Least Common Multiples of 3152

Related Least Common Multiples of 3156

Frequently Asked Questions on LCM of 3152 and 3156

1. What is the LCM of 3152 and 3156?

Answer: LCM of 3152 and 3156 is 2486928.

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 3156?

Answer: Factors of 3156 are 1, 2, 3, 4, 6, 12, 263, 526, 789, 1052, 1578, 3156. There are 12 integers that are factors of 3156. The greatest factor of 3156 is 3156.

4. How to Find the LCM of 3152 and 3156?

Answer:

Least Common Multiple of 3152 and 3156 = 2486928

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 3156

3156 = 2 x 2 x 3 x 263

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

LCM = 2486928 = 2 x 2 x 2 x 2 x 3 x 197 x 263

Step 4: Therefore, the least common multiple of 3152 and 3156 is 2486928.