Least Common Multiple of 7342 and 7350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7342 and 7350 the smallest integer that is 26981850 that is divisible by both numbers.

Least Common Multiple (LCM) of 7342 and 7350 is 26981850.

LCM(7342,7350) = 26981850

LCM of 7342 and 7350

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

LCM of:
and

Least Common Multiple of 7342 and 7350

LCM of 7342 and 7350 is 26981850

Least common multiple can be found by multiplying the highest exponent prime factors of 7342 and 7350. First we will calculate the prime factors of 7342 and 7350.

Prime Factorization of 7342


2 7342
3671 3671
1

Prime factors of 7342 are 2,3671. Prime factorization of 7342 in exponential form is:

7342 = 21×36711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7342 and 7350.

LCM(7342,7350) = 21×31×52×72×36711
LCM(7342,7350) = 26981850

Factors of 7342

List of positive integer factors of 7342 that divides 7342 without a remainder.

1, 2, 3671, 7342

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

Least Common Multiple of 7342 and 7350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7342 and 7350, than apply into the LCM equation.

GCF(7342,7350) = 2
LCM(7342,7350) = ( 7342 × 7350) / 2
LCM(7342,7350) = 53963700 / 2
LCM(7342,7350) = 26981850

Properties of LCM 7342 and 7350

(i) The LCM of 7350 and 7342 is associative

LCM of 7342 and 7350 = LCM of 7350 and 7342

Related Least Common Multiples of 7342

Related Least Common Multiples of 7350

Frequently Asked Questions on LCM of 7342 and 7350

1. What is the LCM of 7342 and 7350?

Answer: LCM of 7342 and 7350 is 26981850.

2. What are the Factors of 7342?

Answer: Factors of 7342 are 1, 2, 3671, 7342. There are 4 integers that are factors of 7342. The greatest factor of 7342 is 7342.

3. 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.

4. How to Find the LCM of 7342 and 7350?

Answer:

Least Common Multiple of 7342 and 7350 = 26981850

Step 1: Find the prime factorization of 7342

7342 = 2 x 3671

Step 2: Find the prime factorization of 7350

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

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

LCM = 26981850 = 2 x 3 x 5 x 5 x 7 x 7 x 3671

Step 4: Therefore, the least common multiple of 7342 and 7350 is 26981850.