Least Common Multiple of 7350 and 7356

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 7356 the smallest integer that is 9011100 that is divisible by both numbers.

Least Common Multiple (LCM) of 7350 and 7356 is 9011100.

LCM(7350,7356) = 9011100

LCM of 7350 and 7356

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

LCM of:
and

Least Common Multiple of 7350 and 7356

LCM of 7350 and 7356 is 9011100

Least common multiple can be found by multiplying the highest exponent prime factors of 7350 and 7356. First we will calculate the prime factors of 7350 and 7356.

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 7356


2 7356
2 3678
3 1839
613 613
1

Prime factors of 7356 are 2, 3,613. Prime factorization of 7356 in exponential form is:

7356 = 22×31×6131

Now multiplying the highest exponent prime factors to calculate the LCM of 7350 and 7356.

LCM(7350,7356) = 22×31×52×72×6131
LCM(7350,7356) = 9011100

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 7356

List of positive integer factors of 7356 that divides 7356 without a remainder.

1, 2, 3, 4, 6, 12, 613, 1226, 1839, 2452, 3678, 7356

Least Common Multiple of 7350 and 7356 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 7356, than apply into the LCM equation.

GCF(7350,7356) = 6
LCM(7350,7356) = ( 7350 × 7356) / 6
LCM(7350,7356) = 54066600 / 6
LCM(7350,7356) = 9011100

Properties of LCM 7350 and 7356

(i) The LCM of 7356 and 7350 is associative

LCM of 7350 and 7356 = LCM of 7356 and 7350

Related Least Common Multiples of 7350

Related Least Common Multiples of 7356

Frequently Asked Questions on LCM of 7350 and 7356

1. What is the LCM of 7350 and 7356?

Answer: LCM of 7350 and 7356 is 9011100.

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 7356?

Answer: Factors of 7356 are 1, 2, 3, 4, 6, 12, 613, 1226, 1839, 2452, 3678, 7356. There are 12 integers that are factors of 7356. The greatest factor of 7356 is 7356.

4. How to Find the LCM of 7350 and 7356?

Answer:

Least Common Multiple of 7350 and 7356 = 9011100

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 7356

7356 = 2 x 2 x 3 x 613

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

LCM = 9011100 = 2 x 2 x 3 x 5 x 5 x 7 x 7 x 613

Step 4: Therefore, the least common multiple of 7350 and 7356 is 9011100.