Least Common Multiple of 6056 and 6060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6056 and 6060 the smallest integer that is 9174840 that is divisible by both numbers.

Least Common Multiple (LCM) of 6056 and 6060 is 9174840.

LCM(6056,6060) = 9174840

LCM of 6056 and 6060

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

LCM of:
and

Least Common Multiple of 6056 and 6060

LCM of 6056 and 6060 is 9174840

Least common multiple can be found by multiplying the highest exponent prime factors of 6056 and 6060. First we will calculate the prime factors of 6056 and 6060.

Prime Factorization of 6056


2 6056
2 3028
2 1514
757 757
1

Prime factors of 6056 are 2,757. Prime factorization of 6056 in exponential form is:

6056 = 23×7571

Prime Factorization of 6060


2 6060
2 3030
3 1515
5 505
101 101
1

Prime factors of 6060 are 2, 3, 5,101. Prime factorization of 6060 in exponential form is:

6060 = 22×31×51×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 6056 and 6060.

LCM(6056,6060) = 23×31×51×1011×7571
LCM(6056,6060) = 9174840

Factors of 6056

List of positive integer factors of 6056 that divides 6056 without a remainder.

1, 2, 4, 8, 757, 1514, 3028, 6056

Factors of 6060

List of positive integer factors of 6060 that divides 6060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 101, 202, 303, 404, 505, 606, 1010, 1212, 1515, 2020, 3030, 6060

Least Common Multiple of 6056 and 6060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6056 and 6060, than apply into the LCM equation.

GCF(6056,6060) = 4
LCM(6056,6060) = ( 6056 × 6060) / 4
LCM(6056,6060) = 36699360 / 4
LCM(6056,6060) = 9174840

Properties of LCM 6056 and 6060

(i) The LCM of 6060 and 6056 is associative

LCM of 6056 and 6060 = LCM of 6060 and 6056

Related Least Common Multiples of 6056

Related Least Common Multiples of 6060

Frequently Asked Questions on LCM of 6056 and 6060

1. What is the LCM of 6056 and 6060?

Answer: LCM of 6056 and 6060 is 9174840.

2. What are the Factors of 6056?

Answer: Factors of 6056 are 1, 2, 4, 8, 757, 1514, 3028, 6056. There are 8 integers that are factors of 6056. The greatest factor of 6056 is 6056.

3. What are the Factors of 6060?

Answer: Factors of 6060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 101, 202, 303, 404, 505, 606, 1010, 1212, 1515, 2020, 3030, 6060. There are 24 integers that are factors of 6060. The greatest factor of 6060 is 6060.

4. How to Find the LCM of 6056 and 6060?

Answer:

Least Common Multiple of 6056 and 6060 = 9174840

Step 1: Find the prime factorization of 6056

6056 = 2 x 2 x 2 x 757

Step 2: Find the prime factorization of 6060

6060 = 2 x 2 x 3 x 5 x 101

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

LCM = 9174840 = 2 x 2 x 2 x 3 x 5 x 101 x 757

Step 4: Therefore, the least common multiple of 6056 and 6060 is 9174840.