Least Common Multiple of 7367 and 7374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7367 and 7374 the smallest integer that is 54324258 that is divisible by both numbers.

Least Common Multiple (LCM) of 7367 and 7374 is 54324258.

LCM(7367,7374) = 54324258

LCM of 7367 and 7374

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

LCM of:
and

Least Common Multiple of 7367 and 7374

LCM of 7367 and 7374 is 54324258

Least common multiple can be found by multiplying the highest exponent prime factors of 7367 and 7374. First we will calculate the prime factors of 7367 and 7374.

Prime Factorization of 7367


53 7367
139 139
1

Prime factors of 7367 are 53,139. Prime factorization of 7367 in exponential form is:

7367 = 531×1391

Prime Factorization of 7374


2 7374
3 3687
1229 1229
1

Prime factors of 7374 are 2, 3,1229. Prime factorization of 7374 in exponential form is:

7374 = 21×31×12291

Now multiplying the highest exponent prime factors to calculate the LCM of 7367 and 7374.

LCM(7367,7374) = 21×31×531×1391×12291
LCM(7367,7374) = 54324258

Factors of 7367

List of positive integer factors of 7367 that divides 7367 without a remainder.

1, 53, 139, 7367

Factors of 7374

List of positive integer factors of 7374 that divides 7374 without a remainder.

1, 2, 3, 6, 1229, 2458, 3687, 7374

Least Common Multiple of 7367 and 7374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7367 and 7374, than apply into the LCM equation.

GCF(7367,7374) = 1
LCM(7367,7374) = ( 7367 × 7374) / 1
LCM(7367,7374) = 54324258 / 1
LCM(7367,7374) = 54324258

Properties of LCM 7367 and 7374

(i) The LCM of 7374 and 7367 is associative

LCM of 7367 and 7374 = LCM of 7374 and 7367

Related Least Common Multiples of 7367

Related Least Common Multiples of 7374

Frequently Asked Questions on LCM of 7367 and 7374

1. What is the LCM of 7367 and 7374?

Answer: LCM of 7367 and 7374 is 54324258.

2. What are the Factors of 7367?

Answer: Factors of 7367 are 1, 53, 139, 7367. There are 4 integers that are factors of 7367. The greatest factor of 7367 is 7367.

3. What are the Factors of 7374?

Answer: Factors of 7374 are 1, 2, 3, 6, 1229, 2458, 3687, 7374. There are 8 integers that are factors of 7374. The greatest factor of 7374 is 7374.

4. How to Find the LCM of 7367 and 7374?

Answer:

Least Common Multiple of 7367 and 7374 = 54324258

Step 1: Find the prime factorization of 7367

7367 = 53 x 139

Step 2: Find the prime factorization of 7374

7374 = 2 x 3 x 1229

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

LCM = 54324258 = 2 x 3 x 53 x 139 x 1229

Step 4: Therefore, the least common multiple of 7367 and 7374 is 54324258.