Least Common Multiple of 6096 and 6104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6096 and 6104 the smallest integer that is 4651248 that is divisible by both numbers.

Least Common Multiple (LCM) of 6096 and 6104 is 4651248.

LCM(6096,6104) = 4651248

LCM of 6096 and 6104

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

LCM of:
and

Least Common Multiple of 6096 and 6104

LCM of 6096 and 6104 is 4651248

Least common multiple can be found by multiplying the highest exponent prime factors of 6096 and 6104. First we will calculate the prime factors of 6096 and 6104.

Prime Factorization of 6096


2 6096
2 3048
2 1524
2 762
3 381
127 127
1

Prime factors of 6096 are 2, 3,127. Prime factorization of 6096 in exponential form is:

6096 = 24×31×1271

Prime Factorization of 6104


2 6104
2 3052
2 1526
7 763
109 109
1

Prime factors of 6104 are 2, 7,109. Prime factorization of 6104 in exponential form is:

6104 = 23×71×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 6096 and 6104.

LCM(6096,6104) = 24×31×71×1091×1271
LCM(6096,6104) = 4651248

Factors of 6096

List of positive integer factors of 6096 that divides 6096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 127, 254, 381, 508, 762, 1016, 1524, 2032, 3048, 6096

Factors of 6104

List of positive integer factors of 6104 that divides 6104 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 109, 218, 436, 763, 872, 1526, 3052, 6104

Least Common Multiple of 6096 and 6104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6096 and 6104, than apply into the LCM equation.

GCF(6096,6104) = 8
LCM(6096,6104) = ( 6096 × 6104) / 8
LCM(6096,6104) = 37209984 / 8
LCM(6096,6104) = 4651248

Properties of LCM 6096 and 6104

(i) The LCM of 6104 and 6096 is associative

LCM of 6096 and 6104 = LCM of 6104 and 6096

Related Least Common Multiples of 6096

Related Least Common Multiples of 6104

Frequently Asked Questions on LCM of 6096 and 6104

1. What is the LCM of 6096 and 6104?

Answer: LCM of 6096 and 6104 is 4651248.

2. What are the Factors of 6096?

Answer: Factors of 6096 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 127, 254, 381, 508, 762, 1016, 1524, 2032, 3048, 6096. There are 20 integers that are factors of 6096. The greatest factor of 6096 is 6096.

3. What are the Factors of 6104?

Answer: Factors of 6104 are 1, 2, 4, 7, 8, 14, 28, 56, 109, 218, 436, 763, 872, 1526, 3052, 6104. There are 16 integers that are factors of 6104. The greatest factor of 6104 is 6104.

4. How to Find the LCM of 6096 and 6104?

Answer:

Least Common Multiple of 6096 and 6104 = 4651248

Step 1: Find the prime factorization of 6096

6096 = 2 x 2 x 2 x 2 x 3 x 127

Step 2: Find the prime factorization of 6104

6104 = 2 x 2 x 2 x 7 x 109

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

LCM = 4651248 = 2 x 2 x 2 x 2 x 3 x 7 x 109 x 127

Step 4: Therefore, the least common multiple of 6096 and 6104 is 4651248.