Least Common Multiple of 3041 and 3048

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3041 and 3048 the smallest integer that is 9268968 that is divisible by both numbers.

Least Common Multiple (LCM) of 3041 and 3048 is 9268968.

LCM(3041,3048) = 9268968

LCM of 3041 and 3048

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

LCM of:
and

Least Common Multiple of 3041 and 3048

LCM of 3041 and 3048 is 9268968

Least common multiple can be found by multiplying the highest exponent prime factors of 3041 and 3048. First we will calculate the prime factors of 3041 and 3048.

Prime Factorization of 3041


3041 3041
1

Prime factors of 3041 are 3041. Prime factorization of 3041 in exponential form is:

3041 = 30411

Prime Factorization of 3048


2 3048
2 1524
2 762
3 381
127 127
1

Prime factors of 3048 are 2, 3,127. Prime factorization of 3048 in exponential form is:

3048 = 23×31×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 3041 and 3048.

LCM(3041,3048) = 23×31×1271×30411
LCM(3041,3048) = 9268968

Factors of 3041

List of positive integer factors of 3041 that divides 3041 without a remainder.

1, 3041

Factors of 3048

List of positive integer factors of 3048 that divides 3048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048

Least Common Multiple of 3041 and 3048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3041 and 3048, than apply into the LCM equation.

GCF(3041,3048) = 1
LCM(3041,3048) = ( 3041 × 3048) / 1
LCM(3041,3048) = 9268968 / 1
LCM(3041,3048) = 9268968

Properties of LCM 3041 and 3048

(i) The LCM of 3048 and 3041 is associative

LCM of 3041 and 3048 = LCM of 3048 and 3041

Related Least Common Multiples of 3041

Related Least Common Multiples of 3048

Frequently Asked Questions on LCM of 3041 and 3048

1. What is the LCM of 3041 and 3048?

Answer: LCM of 3041 and 3048 is 9268968.

2. What are the Factors of 3041?

Answer: Factors of 3041 are 1, 3041. There are 2 integers that are factors of 3041. The greatest factor of 3041 is 3041.

3. What are the Factors of 3048?

Answer: Factors of 3048 are 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048. There are 16 integers that are factors of 3048. The greatest factor of 3048 is 3048.

4. How to Find the LCM of 3041 and 3048?

Answer:

Least Common Multiple of 3041 and 3048 = 9268968

Step 1: Find the prime factorization of 3041

3041 = 3041

Step 2: Find the prime factorization of 3048

3048 = 2 x 2 x 2 x 3 x 127

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

LCM = 9268968 = 2 x 2 x 2 x 3 x 127 x 3041

Step 4: Therefore, the least common multiple of 3041 and 3048 is 9268968.