Least Common Multiple of 3148 and 3149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3148 and 3149 the smallest integer that is 9913052 that is divisible by both numbers.

Least Common Multiple (LCM) of 3148 and 3149 is 9913052.

LCM(3148,3149) = 9913052

LCM of 3148 and 3149

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

LCM of:
and

Least Common Multiple of 3148 and 3149

LCM of 3148 and 3149 is 9913052

Least common multiple can be found by multiplying the highest exponent prime factors of 3148 and 3149. First we will calculate the prime factors of 3148 and 3149.

Prime Factorization of 3148


2 3148
2 1574
787 787
1

Prime factors of 3148 are 2,787. Prime factorization of 3148 in exponential form is:

3148 = 22×7871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3148 and 3149.

LCM(3148,3149) = 22×471×671×7871
LCM(3148,3149) = 9913052

Factors of 3148

List of positive integer factors of 3148 that divides 3148 without a remainder.

1, 2, 4, 787, 1574, 3148

Factors of 3149

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

1, 47, 67, 3149

Least Common Multiple of 3148 and 3149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3148 and 3149, than apply into the LCM equation.

GCF(3148,3149) = 1
LCM(3148,3149) = ( 3148 × 3149) / 1
LCM(3148,3149) = 9913052 / 1
LCM(3148,3149) = 9913052

Properties of LCM 3148 and 3149

(i) The LCM of 3149 and 3148 is associative

LCM of 3148 and 3149 = LCM of 3149 and 3148

Related Least Common Multiples of 3148

Related Least Common Multiples of 3149

Frequently Asked Questions on LCM of 3148 and 3149

1. What is the LCM of 3148 and 3149?

Answer: LCM of 3148 and 3149 is 9913052.

2. What are the Factors of 3148?

Answer: Factors of 3148 are 1, 2, 4, 787, 1574, 3148. There are 6 integers that are factors of 3148. The greatest factor of 3148 is 3148.

3. 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.

4. How to Find the LCM of 3148 and 3149?

Answer:

Least Common Multiple of 3148 and 3149 = 9913052

Step 1: Find the prime factorization of 3148

3148 = 2 x 2 x 787

Step 2: Find the prime factorization of 3149

3149 = 47 x 67

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

LCM = 9913052 = 2 x 2 x 47 x 67 x 787

Step 4: Therefore, the least common multiple of 3148 and 3149 is 9913052.