Least Common Multiple of 3150 and 3157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3150 and 3157 the smallest integer that is 1420650 that is divisible by both numbers.

Least Common Multiple (LCM) of 3150 and 3157 is 1420650.

LCM(3150,3157) = 1420650

LCM of 3150 and 3157

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

LCM of:
and

Least Common Multiple of 3150 and 3157

LCM of 3150 and 3157 is 1420650

Least common multiple can be found by multiplying the highest exponent prime factors of 3150 and 3157. First we will calculate the prime factors of 3150 and 3157.

Prime Factorization of 3150


2 3150
3 1575
3 525
5 175
5 35
7 7
1

Prime factors of 3150 are 2, 3, 5,7. Prime factorization of 3150 in exponential form is:

3150 = 21×32×52×71

Prime Factorization of 3157


7 3157
11 451
41 41
1

Prime factors of 3157 are 7, 11,41. Prime factorization of 3157 in exponential form is:

3157 = 71×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3150 and 3157.

LCM(3150,3157) = 21×32×52×71×111×411
LCM(3150,3157) = 1420650

Factors of 3150

List of positive integer factors of 3150 that divides 3150 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150

Factors of 3157

List of positive integer factors of 3157 that divides 3157 without a remainder.

1, 7, 11, 41, 77, 287, 451, 3157

Least Common Multiple of 3150 and 3157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3150 and 3157, than apply into the LCM equation.

GCF(3150,3157) = 7
LCM(3150,3157) = ( 3150 × 3157) / 7
LCM(3150,3157) = 9944550 / 7
LCM(3150,3157) = 1420650

Properties of LCM 3150 and 3157

(i) The LCM of 3157 and 3150 is associative

LCM of 3150 and 3157 = LCM of 3157 and 3150

Related Least Common Multiples of 3150

Related Least Common Multiples of 3157

Frequently Asked Questions on LCM of 3150 and 3157

1. What is the LCM of 3150 and 3157?

Answer: LCM of 3150 and 3157 is 1420650.

2. What are the Factors of 3150?

Answer: Factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150. There are 36 integers that are factors of 3150. The greatest factor of 3150 is 3150.

3. What are the Factors of 3157?

Answer: Factors of 3157 are 1, 7, 11, 41, 77, 287, 451, 3157. There are 8 integers that are factors of 3157. The greatest factor of 3157 is 3157.

4. How to Find the LCM of 3150 and 3157?

Answer:

Least Common Multiple of 3150 and 3157 = 1420650

Step 1: Find the prime factorization of 3150

3150 = 2 x 3 x 3 x 5 x 5 x 7

Step 2: Find the prime factorization of 3157

3157 = 7 x 11 x 41

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

LCM = 1420650 = 2 x 3 x 3 x 5 x 5 x 7 x 11 x 41

Step 4: Therefore, the least common multiple of 3150 and 3157 is 1420650.