Least Common Multiple of 6215 and 6220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6215 and 6220 the smallest integer that is 7731460 that is divisible by both numbers.

Least Common Multiple (LCM) of 6215 and 6220 is 7731460.

LCM(6215,6220) = 7731460

LCM of 6215 and 6220

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

LCM of:
and

Least Common Multiple of 6215 and 6220

LCM of 6215 and 6220 is 7731460

Least common multiple can be found by multiplying the highest exponent prime factors of 6215 and 6220. First we will calculate the prime factors of 6215 and 6220.

Prime Factorization of 6215


5 6215
11 1243
113 113
1

Prime factors of 6215 are 5, 11,113. Prime factorization of 6215 in exponential form is:

6215 = 51×111×1131

Prime Factorization of 6220


2 6220
2 3110
5 1555
311 311
1

Prime factors of 6220 are 2, 5,311. Prime factorization of 6220 in exponential form is:

6220 = 22×51×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 6215 and 6220.

LCM(6215,6220) = 22×51×111×1131×3111
LCM(6215,6220) = 7731460

Factors of 6215

List of positive integer factors of 6215 that divides 6215 without a remainder.

1, 5, 11, 55, 113, 565, 1243, 6215

Factors of 6220

List of positive integer factors of 6220 that divides 6220 without a remainder.

1, 2, 4, 5, 10, 20, 311, 622, 1244, 1555, 3110, 6220

Least Common Multiple of 6215 and 6220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6215 and 6220, than apply into the LCM equation.

GCF(6215,6220) = 5
LCM(6215,6220) = ( 6215 × 6220) / 5
LCM(6215,6220) = 38657300 / 5
LCM(6215,6220) = 7731460

Properties of LCM 6215 and 6220

(i) The LCM of 6220 and 6215 is associative

LCM of 6215 and 6220 = LCM of 6220 and 6215

Related Least Common Multiples of 6215

Related Least Common Multiples of 6220

Frequently Asked Questions on LCM of 6215 and 6220

1. What is the LCM of 6215 and 6220?

Answer: LCM of 6215 and 6220 is 7731460.

2. What are the Factors of 6215?

Answer: Factors of 6215 are 1, 5, 11, 55, 113, 565, 1243, 6215. There are 8 integers that are factors of 6215. The greatest factor of 6215 is 6215.

3. What are the Factors of 6220?

Answer: Factors of 6220 are 1, 2, 4, 5, 10, 20, 311, 622, 1244, 1555, 3110, 6220. There are 12 integers that are factors of 6220. The greatest factor of 6220 is 6220.

4. How to Find the LCM of 6215 and 6220?

Answer:

Least Common Multiple of 6215 and 6220 = 7731460

Step 1: Find the prime factorization of 6215

6215 = 5 x 11 x 113

Step 2: Find the prime factorization of 6220

6220 = 2 x 2 x 5 x 311

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

LCM = 7731460 = 2 x 2 x 5 x 11 x 113 x 311

Step 4: Therefore, the least common multiple of 6215 and 6220 is 7731460.