Least Common Multiple of 3092 and 3096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3092 and 3096 the smallest integer that is 2393208 that is divisible by both numbers.

Least Common Multiple (LCM) of 3092 and 3096 is 2393208.

LCM(3092,3096) = 2393208

LCM of 3092 and 3096

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

LCM of:
and

Least Common Multiple of 3092 and 3096

LCM of 3092 and 3096 is 2393208

Least common multiple can be found by multiplying the highest exponent prime factors of 3092 and 3096. First we will calculate the prime factors of 3092 and 3096.

Prime Factorization of 3092


2 3092
2 1546
773 773
1

Prime factors of 3092 are 2,773. Prime factorization of 3092 in exponential form is:

3092 = 22×7731

Prime Factorization of 3096


2 3096
2 1548
2 774
3 387
3 129
43 43
1

Prime factors of 3096 are 2, 3,43. Prime factorization of 3096 in exponential form is:

3096 = 23×32×431

Now multiplying the highest exponent prime factors to calculate the LCM of 3092 and 3096.

LCM(3092,3096) = 23×32×431×7731
LCM(3092,3096) = 2393208

Factors of 3092

List of positive integer factors of 3092 that divides 3092 without a remainder.

1, 2, 4, 773, 1546, 3092

Factors of 3096

List of positive integer factors of 3096 that divides 3096 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172, 258, 344, 387, 516, 774, 1032, 1548, 3096

Least Common Multiple of 3092 and 3096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3092 and 3096, than apply into the LCM equation.

GCF(3092,3096) = 4
LCM(3092,3096) = ( 3092 × 3096) / 4
LCM(3092,3096) = 9572832 / 4
LCM(3092,3096) = 2393208

Properties of LCM 3092 and 3096

(i) The LCM of 3096 and 3092 is associative

LCM of 3092 and 3096 = LCM of 3096 and 3092

Related Least Common Multiples of 3092

Related Least Common Multiples of 3096

Frequently Asked Questions on LCM of 3092 and 3096

1. What is the LCM of 3092 and 3096?

Answer: LCM of 3092 and 3096 is 2393208.

2. What are the Factors of 3092?

Answer: Factors of 3092 are 1, 2, 4, 773, 1546, 3092. There are 6 integers that are factors of 3092. The greatest factor of 3092 is 3092.

3. What are the Factors of 3096?

Answer: Factors of 3096 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172, 258, 344, 387, 516, 774, 1032, 1548, 3096. There are 24 integers that are factors of 3096. The greatest factor of 3096 is 3096.

4. How to Find the LCM of 3092 and 3096?

Answer:

Least Common Multiple of 3092 and 3096 = 2393208

Step 1: Find the prime factorization of 3092

3092 = 2 x 2 x 773

Step 2: Find the prime factorization of 3096

3096 = 2 x 2 x 2 x 3 x 3 x 43

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

LCM = 2393208 = 2 x 2 x 2 x 3 x 3 x 43 x 773

Step 4: Therefore, the least common multiple of 3092 and 3096 is 2393208.