Least Common Multiple of 1140 and 1146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1140 and 1146 the smallest integer that is 217740 that is divisible by both numbers.

Least Common Multiple (LCM) of 1140 and 1146 is 217740.

LCM(1140,1146) = 217740

LCM of 1140 and 1146

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

LCM of:
and

Least Common Multiple of 1140 and 1146

LCM of 1140 and 1146 is 217740

Least common multiple can be found by multiplying the highest exponent prime factors of 1140 and 1146. First we will calculate the prime factors of 1140 and 1146.

Prime Factorization of 1140


2 1140
2 570
3 285
5 95
19 19
1

Prime factors of 1140 are 2, 3, 5,19. Prime factorization of 1140 in exponential form is:

1140 = 22×31×51×191

Prime Factorization of 1146


2 1146
3 573
191 191
1

Prime factors of 1146 are 2, 3,191. Prime factorization of 1146 in exponential form is:

1146 = 21×31×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 1140 and 1146.

LCM(1140,1146) = 22×31×51×191×1911
LCM(1140,1146) = 217740

Factors of 1140

List of positive integer factors of 1140 that divides 1140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140

Factors of 1146

List of positive integer factors of 1146 that divides 1146 without a remainder.

1, 2, 3, 6, 191, 382, 573, 1146

Least Common Multiple of 1140 and 1146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1140 and 1146, than apply into the LCM equation.

GCF(1140,1146) = 6
LCM(1140,1146) = ( 1140 × 1146) / 6
LCM(1140,1146) = 1306440 / 6
LCM(1140,1146) = 217740

Properties of LCM 1140 and 1146

(i) The LCM of 1146 and 1140 is associative

LCM of 1140 and 1146 = LCM of 1146 and 1140

Related Least Common Multiples of 1140

Related Least Common Multiples of 1146

Frequently Asked Questions on LCM of 1140 and 1146

1. What is the LCM of 1140 and 1146?

Answer: LCM of 1140 and 1146 is 217740.

2. What are the Factors of 1140?

Answer: Factors of 1140 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140. There are 24 integers that are factors of 1140. The greatest factor of 1140 is 1140.

3. What are the Factors of 1146?

Answer: Factors of 1146 are 1, 2, 3, 6, 191, 382, 573, 1146. There are 8 integers that are factors of 1146. The greatest factor of 1146 is 1146.

4. How to Find the LCM of 1140 and 1146?

Answer:

Least Common Multiple of 1140 and 1146 = 217740

Step 1: Find the prime factorization of 1140

1140 = 2 x 2 x 3 x 5 x 19

Step 2: Find the prime factorization of 1146

1146 = 2 x 3 x 191

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

LCM = 217740 = 2 x 2 x 3 x 5 x 19 x 191

Step 4: Therefore, the least common multiple of 1140 and 1146 is 217740.