Least Common Multiple of 7342 and 7347

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 7347 the smallest integer that is 53941674 that is divisible by both numbers.

Least Common Multiple (LCM) of 7342 and 7347 is 53941674.

LCM(7342,7347) = 53941674

LCM of 7342 and 7347

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

LCM of:
and

Least Common Multiple of 7342 and 7347

LCM of 7342 and 7347 is 53941674

Least common multiple can be found by multiplying the highest exponent prime factors of 7342 and 7347. First we will calculate the prime factors of 7342 and 7347.

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 7347


3 7347
31 2449
79 79
1

Prime factors of 7347 are 3, 31,79. Prime factorization of 7347 in exponential form is:

7347 = 31×311×791

Now multiplying the highest exponent prime factors to calculate the LCM of 7342 and 7347.

LCM(7342,7347) = 21×31×311×791×36711
LCM(7342,7347) = 53941674

Factors of 7342

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

1, 2, 3671, 7342

Factors of 7347

List of positive integer factors of 7347 that divides 7347 without a remainder.

1, 3, 31, 79, 93, 237, 2449, 7347

Least Common Multiple of 7342 and 7347 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 7347, than apply into the LCM equation.

GCF(7342,7347) = 1
LCM(7342,7347) = ( 7342 × 7347) / 1
LCM(7342,7347) = 53941674 / 1
LCM(7342,7347) = 53941674

Properties of LCM 7342 and 7347

(i) The LCM of 7347 and 7342 is associative

LCM of 7342 and 7347 = LCM of 7347 and 7342

Related Least Common Multiples of 7342

Related Least Common Multiples of 7347

Frequently Asked Questions on LCM of 7342 and 7347

1. What is the LCM of 7342 and 7347?

Answer: LCM of 7342 and 7347 is 53941674.

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 7347?

Answer: Factors of 7347 are 1, 3, 31, 79, 93, 237, 2449, 7347. There are 8 integers that are factors of 7347. The greatest factor of 7347 is 7347.

4. How to Find the LCM of 7342 and 7347?

Answer:

Least Common Multiple of 7342 and 7347 = 53941674

Step 1: Find the prime factorization of 7342

7342 = 2 x 3671

Step 2: Find the prime factorization of 7347

7347 = 3 x 31 x 79

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

LCM = 53941674 = 2 x 3 x 31 x 79 x 3671

Step 4: Therefore, the least common multiple of 7342 and 7347 is 53941674.