Least Common Multiple of 6070 and 6076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6070 and 6076 the smallest integer that is 18440660 that is divisible by both numbers.

Least Common Multiple (LCM) of 6070 and 6076 is 18440660.

LCM(6070,6076) = 18440660

LCM of 6070 and 6076

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

LCM of:
and

Least Common Multiple of 6070 and 6076

LCM of 6070 and 6076 is 18440660

Least common multiple can be found by multiplying the highest exponent prime factors of 6070 and 6076. First we will calculate the prime factors of 6070 and 6076.

Prime Factorization of 6070


2 6070
5 3035
607 607
1

Prime factors of 6070 are 2, 5,607. Prime factorization of 6070 in exponential form is:

6070 = 21×51×6071

Prime Factorization of 6076


2 6076
2 3038
7 1519
7 217
31 31
1

Prime factors of 6076 are 2, 7,31. Prime factorization of 6076 in exponential form is:

6076 = 22×72×311

Now multiplying the highest exponent prime factors to calculate the LCM of 6070 and 6076.

LCM(6070,6076) = 22×51×72×311×6071
LCM(6070,6076) = 18440660

Factors of 6070

List of positive integer factors of 6070 that divides 6070 without a remainder.

1, 2, 5, 10, 607, 1214, 3035, 6070

Factors of 6076

List of positive integer factors of 6076 that divides 6076 without a remainder.

1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 434, 868, 1519, 3038, 6076

Least Common Multiple of 6070 and 6076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6070 and 6076, than apply into the LCM equation.

GCF(6070,6076) = 2
LCM(6070,6076) = ( 6070 × 6076) / 2
LCM(6070,6076) = 36881320 / 2
LCM(6070,6076) = 18440660

Properties of LCM 6070 and 6076

(i) The LCM of 6076 and 6070 is associative

LCM of 6070 and 6076 = LCM of 6076 and 6070

Related Least Common Multiples of 6070

Related Least Common Multiples of 6076

Frequently Asked Questions on LCM of 6070 and 6076

1. What is the LCM of 6070 and 6076?

Answer: LCM of 6070 and 6076 is 18440660.

2. What are the Factors of 6070?

Answer: Factors of 6070 are 1, 2, 5, 10, 607, 1214, 3035, 6070. There are 8 integers that are factors of 6070. The greatest factor of 6070 is 6070.

3. What are the Factors of 6076?

Answer: Factors of 6076 are 1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 434, 868, 1519, 3038, 6076. There are 18 integers that are factors of 6076. The greatest factor of 6076 is 6076.

4. How to Find the LCM of 6070 and 6076?

Answer:

Least Common Multiple of 6070 and 6076 = 18440660

Step 1: Find the prime factorization of 6070

6070 = 2 x 5 x 607

Step 2: Find the prime factorization of 6076

6076 = 2 x 2 x 7 x 7 x 31

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

LCM = 18440660 = 2 x 2 x 5 x 7 x 7 x 31 x 607

Step 4: Therefore, the least common multiple of 6070 and 6076 is 18440660.