Least Common Multiple of 9274 and 9278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9274 and 9278 the smallest integer that is 43022086 that is divisible by both numbers.

Least Common Multiple (LCM) of 9274 and 9278 is 43022086.

LCM(9274,9278) = 43022086

LCM of 9274 and 9278

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

LCM of:
and

Least Common Multiple of 9274 and 9278

LCM of 9274 and 9278 is 43022086

Least common multiple can be found by multiplying the highest exponent prime factors of 9274 and 9278. First we will calculate the prime factors of 9274 and 9278.

Prime Factorization of 9274


2 9274
4637 4637
1

Prime factors of 9274 are 2,4637. Prime factorization of 9274 in exponential form is:

9274 = 21×46371

Prime Factorization of 9278


2 9278
4639 4639
1

Prime factors of 9278 are 2,4639. Prime factorization of 9278 in exponential form is:

9278 = 21×46391

Now multiplying the highest exponent prime factors to calculate the LCM of 9274 and 9278.

LCM(9274,9278) = 21×46371×46391
LCM(9274,9278) = 43022086

Factors of 9274

List of positive integer factors of 9274 that divides 9274 without a remainder.

1, 2, 4637, 9274

Factors of 9278

List of positive integer factors of 9278 that divides 9278 without a remainder.

1, 2, 4639, 9278

Least Common Multiple of 9274 and 9278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9274 and 9278, than apply into the LCM equation.

GCF(9274,9278) = 2
LCM(9274,9278) = ( 9274 × 9278) / 2
LCM(9274,9278) = 86044172 / 2
LCM(9274,9278) = 43022086

Properties of LCM 9274 and 9278

(i) The LCM of 9278 and 9274 is associative

LCM of 9274 and 9278 = LCM of 9278 and 9274

Related Least Common Multiples of 9274

Related Least Common Multiples of 9278

Frequently Asked Questions on LCM of 9274 and 9278

1. What is the LCM of 9274 and 9278?

Answer: LCM of 9274 and 9278 is 43022086.

2. What are the Factors of 9274?

Answer: Factors of 9274 are 1, 2, 4637, 9274. There are 4 integers that are factors of 9274. The greatest factor of 9274 is 9274.

3. What are the Factors of 9278?

Answer: Factors of 9278 are 1, 2, 4639, 9278. There are 4 integers that are factors of 9278. The greatest factor of 9278 is 9278.

4. How to Find the LCM of 9274 and 9278?

Answer:

Least Common Multiple of 9274 and 9278 = 43022086

Step 1: Find the prime factorization of 9274

9274 = 2 x 4637

Step 2: Find the prime factorization of 9278

9278 = 2 x 4639

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

LCM = 43022086 = 2 x 4637 x 4639

Step 4: Therefore, the least common multiple of 9274 and 9278 is 43022086.