Least Common Multiple of 3149 and 3153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3149 and 3153 the smallest integer that is 9928797 that is divisible by both numbers.

Least Common Multiple (LCM) of 3149 and 3153 is 9928797.

LCM(3149,3153) = 9928797

LCM of 3149 and 3153

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

LCM of:
and

Least Common Multiple of 3149 and 3153

LCM of 3149 and 3153 is 9928797

Least common multiple can be found by multiplying the highest exponent prime factors of 3149 and 3153. First we will calculate the prime factors of 3149 and 3153.

Prime Factorization of 3149


47 3149
67 67
1

Prime factors of 3149 are 47,67. Prime factorization of 3149 in exponential form is:

3149 = 471×671

Prime Factorization of 3153


3 3153
1051 1051
1

Prime factors of 3153 are 3,1051. Prime factorization of 3153 in exponential form is:

3153 = 31×10511

Now multiplying the highest exponent prime factors to calculate the LCM of 3149 and 3153.

LCM(3149,3153) = 31×471×671×10511
LCM(3149,3153) = 9928797

Factors of 3149

List of positive integer factors of 3149 that divides 3149 without a remainder.

1, 47, 67, 3149

Factors of 3153

List of positive integer factors of 3153 that divides 3153 without a remainder.

1, 3, 1051, 3153

Least Common Multiple of 3149 and 3153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3149 and 3153, than apply into the LCM equation.

GCF(3149,3153) = 1
LCM(3149,3153) = ( 3149 × 3153) / 1
LCM(3149,3153) = 9928797 / 1
LCM(3149,3153) = 9928797

Properties of LCM 3149 and 3153

(i) The LCM of 3153 and 3149 is associative

LCM of 3149 and 3153 = LCM of 3153 and 3149

Related Least Common Multiples of 3149

Related Least Common Multiples of 3153

Frequently Asked Questions on LCM of 3149 and 3153

1. What is the LCM of 3149 and 3153?

Answer: LCM of 3149 and 3153 is 9928797.

2. What are the Factors of 3149?

Answer: Factors of 3149 are 1, 47, 67, 3149. There are 4 integers that are factors of 3149. The greatest factor of 3149 is 3149.

3. What are the Factors of 3153?

Answer: Factors of 3153 are 1, 3, 1051, 3153. There are 4 integers that are factors of 3153. The greatest factor of 3153 is 3153.

4. How to Find the LCM of 3149 and 3153?

Answer:

Least Common Multiple of 3149 and 3153 = 9928797

Step 1: Find the prime factorization of 3149

3149 = 47 x 67

Step 2: Find the prime factorization of 3153

3153 = 3 x 1051

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

LCM = 9928797 = 3 x 47 x 67 x 1051

Step 4: Therefore, the least common multiple of 3149 and 3153 is 9928797.