Least Common Multiple of 2142 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 2142 and 2148 the smallest integer that is 766836 that is divisible by both numbers.

Least Common Multiple (LCM) of 2142 and 2148 is 766836.

LCM(2142,2148) = 766836

LCM of 2142 and 2148

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

LCM of:
and

Least Common Multiple of 2142 and 2148

LCM of 2142 and 2148 is 766836

Least common multiple can be found by multiplying the highest exponent prime factors of 2142 and 2148. First we will calculate the prime factors of 2142 and 2148.

Prime Factorization of 2142


2 2142
3 1071
3 357
7 119
17 17
1

Prime factors of 2142 are 2, 3, 7,17. Prime factorization of 2142 in exponential form is:

2142 = 21×32×71×171

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 2142 and 2148.

LCM(2142,2148) = 22×32×71×171×1791
LCM(2142,2148) = 766836

Factors of 2142

List of positive integer factors of 2142 that divides 2142 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142

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 2142 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 2142 and 2148, than apply into the LCM equation.

GCF(2142,2148) = 6
LCM(2142,2148) = ( 2142 × 2148) / 6
LCM(2142,2148) = 4601016 / 6
LCM(2142,2148) = 766836

Properties of LCM 2142 and 2148

(i) The LCM of 2148 and 2142 is associative

LCM of 2142 and 2148 = LCM of 2148 and 2142

Related Least Common Multiples of 2142

Related Least Common Multiples of 2148

Frequently Asked Questions on LCM of 2142 and 2148

1. What is the LCM of 2142 and 2148?

Answer: LCM of 2142 and 2148 is 766836.

2. What are the Factors of 2142?

Answer: Factors of 2142 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142. There are 24 integers that are factors of 2142. The greatest factor of 2142 is 2142.

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 2142 and 2148?

Answer:

Least Common Multiple of 2142 and 2148 = 766836

Step 1: Find the prime factorization of 2142

2142 = 2 x 3 x 3 x 7 x 17

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 = 766836 = 2 x 2 x 3 x 3 x 7 x 17 x 179

Step 4: Therefore, the least common multiple of 2142 and 2148 is 766836.