Least Common Multiple of 7374 and 7376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7374 and 7376 the smallest integer that is 27195312 that is divisible by both numbers.

Least Common Multiple (LCM) of 7374 and 7376 is 27195312.

LCM(7374,7376) = 27195312

LCM of 7374 and 7376

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

LCM of:
and

Least Common Multiple of 7374 and 7376

LCM of 7374 and 7376 is 27195312

Least common multiple can be found by multiplying the highest exponent prime factors of 7374 and 7376. First we will calculate the prime factors of 7374 and 7376.

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

Prime Factorization of 7376


2 7376
2 3688
2 1844
2 922
461 461
1

Prime factors of 7376 are 2,461. Prime factorization of 7376 in exponential form is:

7376 = 24×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 7374 and 7376.

LCM(7374,7376) = 24×31×4611×12291
LCM(7374,7376) = 27195312

Factors of 7374

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

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

Factors of 7376

List of positive integer factors of 7376 that divides 7376 without a remainder.

1, 2, 4, 8, 16, 461, 922, 1844, 3688, 7376

Least Common Multiple of 7374 and 7376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7374 and 7376, than apply into the LCM equation.

GCF(7374,7376) = 2
LCM(7374,7376) = ( 7374 × 7376) / 2
LCM(7374,7376) = 54390624 / 2
LCM(7374,7376) = 27195312

Properties of LCM 7374 and 7376

(i) The LCM of 7376 and 7374 is associative

LCM of 7374 and 7376 = LCM of 7376 and 7374

Related Least Common Multiples of 7374

Related Least Common Multiples of 7376

Frequently Asked Questions on LCM of 7374 and 7376

1. What is the LCM of 7374 and 7376?

Answer: LCM of 7374 and 7376 is 27195312.

2. 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.

3. What are the Factors of 7376?

Answer: Factors of 7376 are 1, 2, 4, 8, 16, 461, 922, 1844, 3688, 7376. There are 10 integers that are factors of 7376. The greatest factor of 7376 is 7376.

4. How to Find the LCM of 7374 and 7376?

Answer:

Least Common Multiple of 7374 and 7376 = 27195312

Step 1: Find the prime factorization of 7374

7374 = 2 x 3 x 1229

Step 2: Find the prime factorization of 7376

7376 = 2 x 2 x 2 x 2 x 461

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

LCM = 27195312 = 2 x 2 x 2 x 2 x 3 x 461 x 1229

Step 4: Therefore, the least common multiple of 7374 and 7376 is 27195312.