Least Common Multiple of 7350 and 7358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7350 and 7358 the smallest integer that is 27040650 that is divisible by both numbers.

Least Common Multiple (LCM) of 7350 and 7358 is 27040650.

LCM(7350,7358) = 27040650

LCM of 7350 and 7358

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

LCM of:
and

Least Common Multiple of 7350 and 7358

LCM of 7350 and 7358 is 27040650

Least common multiple can be found by multiplying the highest exponent prime factors of 7350 and 7358. First we will calculate the prime factors of 7350 and 7358.

Prime Factorization of 7350


2 7350
3 3675
5 1225
5 245
7 49
7 7
1

Prime factors of 7350 are 2, 3, 5,7. Prime factorization of 7350 in exponential form is:

7350 = 21×31×52×72

Prime Factorization of 7358


2 7358
13 3679
283 283
1

Prime factors of 7358 are 2, 13,283. Prime factorization of 7358 in exponential form is:

7358 = 21×131×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 7350 and 7358.

LCM(7350,7358) = 21×31×52×72×131×2831
LCM(7350,7358) = 27040650

Factors of 7350

List of positive integer factors of 7350 that divides 7350 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50, 70, 75, 98, 105, 147, 150, 175, 210, 245, 294, 350, 490, 525, 735, 1050, 1225, 1470, 2450, 3675, 7350

Factors of 7358

List of positive integer factors of 7358 that divides 7358 without a remainder.

1, 2, 13, 26, 283, 566, 3679, 7358

Least Common Multiple of 7350 and 7358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7350 and 7358, than apply into the LCM equation.

GCF(7350,7358) = 2
LCM(7350,7358) = ( 7350 × 7358) / 2
LCM(7350,7358) = 54081300 / 2
LCM(7350,7358) = 27040650

Properties of LCM 7350 and 7358

(i) The LCM of 7358 and 7350 is associative

LCM of 7350 and 7358 = LCM of 7358 and 7350

Related Least Common Multiples of 7350

Related Least Common Multiples of 7358

Frequently Asked Questions on LCM of 7350 and 7358

1. What is the LCM of 7350 and 7358?

Answer: LCM of 7350 and 7358 is 27040650.

2. What are the Factors of 7350?

Answer: Factors of 7350 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50, 70, 75, 98, 105, 147, 150, 175, 210, 245, 294, 350, 490, 525, 735, 1050, 1225, 1470, 2450, 3675, 7350. There are 36 integers that are factors of 7350. The greatest factor of 7350 is 7350.

3. What are the Factors of 7358?

Answer: Factors of 7358 are 1, 2, 13, 26, 283, 566, 3679, 7358. There are 8 integers that are factors of 7358. The greatest factor of 7358 is 7358.

4. How to Find the LCM of 7350 and 7358?

Answer:

Least Common Multiple of 7350 and 7358 = 27040650

Step 1: Find the prime factorization of 7350

7350 = 2 x 3 x 5 x 5 x 7 x 7

Step 2: Find the prime factorization of 7358

7358 = 2 x 13 x 283

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

LCM = 27040650 = 2 x 3 x 5 x 5 x 7 x 7 x 13 x 283

Step 4: Therefore, the least common multiple of 7350 and 7358 is 27040650.