Least Common Multiple of 9374 and 9378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9374 and 9378 the smallest integer that is 43954686 that is divisible by both numbers.

Least Common Multiple (LCM) of 9374 and 9378 is 43954686.

LCM(9374,9378) = 43954686

LCM of 9374 and 9378

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

LCM of:
and

Least Common Multiple of 9374 and 9378

LCM of 9374 and 9378 is 43954686

Least common multiple can be found by multiplying the highest exponent prime factors of 9374 and 9378. First we will calculate the prime factors of 9374 and 9378.

Prime Factorization of 9374


2 9374
43 4687
109 109
1

Prime factors of 9374 are 2, 43,109. Prime factorization of 9374 in exponential form is:

9374 = 21×431×1091

Prime Factorization of 9378


2 9378
3 4689
3 1563
521 521
1

Prime factors of 9378 are 2, 3,521. Prime factorization of 9378 in exponential form is:

9378 = 21×32×5211

Now multiplying the highest exponent prime factors to calculate the LCM of 9374 and 9378.

LCM(9374,9378) = 21×32×431×1091×5211
LCM(9374,9378) = 43954686

Factors of 9374

List of positive integer factors of 9374 that divides 9374 without a remainder.

1, 2, 43, 86, 109, 218, 4687, 9374

Factors of 9378

List of positive integer factors of 9378 that divides 9378 without a remainder.

1, 2, 3, 6, 9, 18, 521, 1042, 1563, 3126, 4689, 9378

Least Common Multiple of 9374 and 9378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9374 and 9378, than apply into the LCM equation.

GCF(9374,9378) = 2
LCM(9374,9378) = ( 9374 × 9378) / 2
LCM(9374,9378) = 87909372 / 2
LCM(9374,9378) = 43954686

Properties of LCM 9374 and 9378

(i) The LCM of 9378 and 9374 is associative

LCM of 9374 and 9378 = LCM of 9378 and 9374

Related Least Common Multiples of 9374

Related Least Common Multiples of 9378

Frequently Asked Questions on LCM of 9374 and 9378

1. What is the LCM of 9374 and 9378?

Answer: LCM of 9374 and 9378 is 43954686.

2. What are the Factors of 9374?

Answer: Factors of 9374 are 1, 2, 43, 86, 109, 218, 4687, 9374. There are 8 integers that are factors of 9374. The greatest factor of 9374 is 9374.

3. What are the Factors of 9378?

Answer: Factors of 9378 are 1, 2, 3, 6, 9, 18, 521, 1042, 1563, 3126, 4689, 9378. There are 12 integers that are factors of 9378. The greatest factor of 9378 is 9378.

4. How to Find the LCM of 9374 and 9378?

Answer:

Least Common Multiple of 9374 and 9378 = 43954686

Step 1: Find the prime factorization of 9374

9374 = 2 x 43 x 109

Step 2: Find the prime factorization of 9378

9378 = 2 x 3 x 3 x 521

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

LCM = 43954686 = 2 x 3 x 3 x 43 x 109 x 521

Step 4: Therefore, the least common multiple of 9374 and 9378 is 43954686.