Least Common Multiple of 2141 and 2148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2141 and 2148 the smallest integer that is 4598868 that is divisible by both numbers.

Least Common Multiple (LCM) of 2141 and 2148 is 4598868.

LCM(2141,2148) = 4598868

LCM of 2141 and 2148

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

LCM of:
and

Least Common Multiple of 2141 and 2148

LCM of 2141 and 2148 is 4598868

Least common multiple can be found by multiplying the highest exponent prime factors of 2141 and 2148. First we will calculate the prime factors of 2141 and 2148.

Prime Factorization of 2141


2141 2141
1

Prime factors of 2141 are 2141. Prime factorization of 2141 in exponential form is:

2141 = 21411

Prime Factorization of 2148


2 2148
2 1074
3 537
179 179
1

Prime factors of 2148 are 2, 3,179. Prime factorization of 2148 in exponential form is:

2148 = 22×31×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 2141 and 2148.

LCM(2141,2148) = 22×31×1791×21411
LCM(2141,2148) = 4598868

Factors of 2141

List of positive integer factors of 2141 that divides 2141 without a remainder.

1, 2141

Factors of 2148

List of positive integer factors of 2148 that divides 2148 without a remainder.

1, 2, 3, 4, 6, 12, 179, 358, 537, 716, 1074, 2148

Least Common Multiple of 2141 and 2148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2141 and 2148, than apply into the LCM equation.

GCF(2141,2148) = 1
LCM(2141,2148) = ( 2141 × 2148) / 1
LCM(2141,2148) = 4598868 / 1
LCM(2141,2148) = 4598868

Properties of LCM 2141 and 2148

(i) The LCM of 2148 and 2141 is associative

LCM of 2141 and 2148 = LCM of 2148 and 2141

Related Least Common Multiples of 2141

Related Least Common Multiples of 2148

Frequently Asked Questions on LCM of 2141 and 2148

1. What is the LCM of 2141 and 2148?

Answer: LCM of 2141 and 2148 is 4598868.

2. What are the Factors of 2141?

Answer: Factors of 2141 are 1, 2141. There are 2 integers that are factors of 2141. The greatest factor of 2141 is 2141.

3. What are the Factors of 2148?

Answer: Factors of 2148 are 1, 2, 3, 4, 6, 12, 179, 358, 537, 716, 1074, 2148. There are 12 integers that are factors of 2148. The greatest factor of 2148 is 2148.

4. How to Find the LCM of 2141 and 2148?

Answer:

Least Common Multiple of 2141 and 2148 = 4598868

Step 1: Find the prime factorization of 2141

2141 = 2141

Step 2: Find the prime factorization of 2148

2148 = 2 x 2 x 3 x 179

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

LCM = 4598868 = 2 x 2 x 3 x 179 x 2141

Step 4: Therefore, the least common multiple of 2141 and 2148 is 4598868.