Least Common Multiple of 7373 and 7378

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

• Least Common Multiple of 7373 and 7378 by Prime method
• Least Common Multiple of 7373 and 7378 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 7373 and 7378. First we will calculate the prime factors of 7373 and 7378.

Prime Factorization of 7373

Prime factors of 7373 are 73,101. Prime factorization of 7373 in exponential form is:

7373 = 73¹×101¹

Prime Factorization of 7378

Prime factors of 7378 are 2, 7, 17,31. Prime factorization of 7378 in exponential form is:

7378 = 2¹×7¹×17¹×31¹

Now multiplying the highest exponent prime factors to calculate the LCM of 7373 and 7378.

LCM(7373,7378) = 2¹×7¹×17¹×31¹×73¹×101¹
LCM(7373,7378) = 54397994

Factors of 7373

List of positive integer factors of 7373 that divides 7373 without a remainder.

1, 73, 101, 7373

Factors of 7378

List of positive integer factors of 7378 that divides 7378 without a remainder.

1, 2, 7, 14, 17, 31, 34, 62, 119, 217, 238, 434, 527, 1054, 3689, 7378

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7373 and 7378, than apply into the LCM equation.

GCF(7373,7378) = 1
LCM(7373,7378) = ( 7373 × 7378) / 1
LCM(7373,7378) = 54397994 / 1
LCM(7373,7378) = 54397994

(i) The LCM of 7378 and 7373 is associative

LCM of 7373 and 7378 = LCM of 7378 and 7373

1. What is the LCM of 7373 and 7378?

Answer: LCM of 7373 and 7378 is 54397994.

2. What are the Factors of 7373?

Answer: Factors of 7373 are 1, 73, 101, 7373. There are 4 integers that are factors of 7373. The greatest factor of 7373 is 7373.

3. What are the Factors of 7378?

Answer: Factors of 7378 are 1, 2, 7, 14, 17, 31, 34, 62, 119, 217, 238, 434, 527, 1054, 3689, 7378. There are 16 integers that are factors of 7378. The greatest factor of 7378 is 7378.

4. How to Find the LCM of 7373 and 7378?

Answer:

Least Common Multiple of 7373 and 7378 = 54397994

Step 1: Find the prime factorization of 7373

7373 = 73 x 101

Step 2: Find the prime factorization of 7378

7378 = 2 x 7 x 17 x 31

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

LCM = 54397994 = 2 x 7 x 17 x 31 x 73 x 101

Step 4: Therefore, the least common multiple of 7373 and 7378 is 54397994.