Least Common Multiple of 7074 and 7080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 7074 and 7080 the smallest integer that is 8347320 that is divisible by both numbers.

Least Common Multiple (LCM) of 7074 and 7080 is 8347320.

LCM(7074,7080) = 8347320

LCM of 7074 and 7080

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

LCM of:
and

Least Common Multiple of 7074 and 7080

LCM of 7074 and 7080 is 8347320

Least common multiple can be found by multiplying the highest exponent prime factors of 7074 and 7080. First we will calculate the prime factors of 7074 and 7080.

Prime Factorization of 7074


2 7074
3 3537
3 1179
3 393
131 131
1

Prime factors of 7074 are 2, 3,131. Prime factorization of 7074 in exponential form is:

7074 = 21×33×1311

Prime Factorization of 7080


2 7080
2 3540
2 1770
3 885
5 295
59 59
1

Prime factors of 7080 are 2, 3, 5,59. Prime factorization of 7080 in exponential form is:

7080 = 23×31×51×591

Now multiplying the highest exponent prime factors to calculate the LCM of 7074 and 7080.

LCM(7074,7080) = 23×33×51×591×1311
LCM(7074,7080) = 8347320

Factors of 7074

List of positive integer factors of 7074 that divides 7074 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 131, 262, 393, 786, 1179, 2358, 3537, 7074

Factors of 7080

List of positive integer factors of 7080 that divides 7080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 59, 60, 118, 120, 177, 236, 295, 354, 472, 590, 708, 885, 1180, 1416, 1770, 2360, 3540, 7080

Least Common Multiple of 7074 and 7080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7074 and 7080, than apply into the LCM equation.

GCF(7074,7080) = 6
LCM(7074,7080) = ( 7074 × 7080) / 6
LCM(7074,7080) = 50083920 / 6
LCM(7074,7080) = 8347320

Properties of LCM 7074 and 7080

(i) The LCM of 7080 and 7074 is associative

LCM of 7074 and 7080 = LCM of 7080 and 7074

Frequently Asked Questions on LCM of 7074 and 7080

1. What is the LCM of 7074 and 7080?

Answer: LCM of 7074 and 7080 is 8347320.

2. What are the Factors of 7074?

Answer: Factors of 7074 are 1, 2, 3, 6, 9, 18, 27, 54, 131, 262, 393, 786, 1179, 2358, 3537, 7074. There are 16 integers that are factors of 7074. The greatest factor of 7074 is 7074.

3. What are the Factors of 7080?

Answer: Factors of 7080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 59, 60, 118, 120, 177, 236, 295, 354, 472, 590, 708, 885, 1180, 1416, 1770, 2360, 3540, 7080. There are 32 integers that are factors of 7080. The greatest factor of 7080 is 7080.

4. How to Find the LCM of 7074 and 7080?

Answer:

Least Common Multiple of 7074 and 7080 = 8347320

Step 1: Find the prime factorization of 7074

7074 = 2 x 3 x 3 x 3 x 131

Step 2: Find the prime factorization of 7080

7080 = 2 x 2 x 2 x 3 x 5 x 59

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

LCM = 8347320 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 59 x 131

Step 4: Therefore, the least common multiple of 7074 and 7080 is 8347320.