Least Common Multiple of 39215 and 39220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39215 and 39220 the smallest integer that is 307602460 that is divisible by both numbers.

Least Common Multiple (LCM) of 39215 and 39220 is 307602460.

LCM(39215,39220) = 307602460

LCM of 39215 and 39220

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

LCM of:
and

Least Common Multiple of 39215 and 39220

LCM of 39215 and 39220 is 307602460

Least common multiple can be found by multiplying the highest exponent prime factors of 39215 and 39220. First we will calculate the prime factors of 39215 and 39220.

Prime Factorization of 39215


5 39215
11 7843
23 713
31 31
1

Prime factors of 39215 are 5, 11, 23,31. Prime factorization of 39215 in exponential form is:

39215 = 51×111×231×311

Prime Factorization of 39220


2 39220
2 19610
5 9805
37 1961
53 53
1

Prime factors of 39220 are 2, 5, 37,53. Prime factorization of 39220 in exponential form is:

39220 = 22×51×371×531

Now multiplying the highest exponent prime factors to calculate the LCM of 39215 and 39220.

LCM(39215,39220) = 22×51×111×231×311×371×531
LCM(39215,39220) = 307602460

Factors of 39215

List of positive integer factors of 39215 that divides 39215 without a remainder.

1, 5, 11, 23, 31, 55, 115, 155, 253, 341, 713, 1265, 1705, 3565, 7843, 39215

Factors of 39220

List of positive integer factors of 39220 that divides 39220 without a remainder.

1, 2, 4, 5, 10, 20, 37, 53, 74, 106, 148, 185, 212, 265, 370, 530, 740, 1060, 1961, 3922, 7844, 9805, 19610, 39220

Least Common Multiple of 39215 and 39220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39215 and 39220, than apply into the LCM equation.

GCF(39215,39220) = 5
LCM(39215,39220) = ( 39215 × 39220) / 5
LCM(39215,39220) = 1538012300 / 5
LCM(39215,39220) = 307602460

Properties of LCM 39215 and 39220

(i) The LCM of 39220 and 39215 is associative

LCM of 39215 and 39220 = LCM of 39220 and 39215

Related Least Common Multiples of 39215

Related Least Common Multiples of 39220

Frequently Asked Questions on LCM of 39215 and 39220

1. What is the LCM of 39215 and 39220?

Answer: LCM of 39215 and 39220 is 307602460.

2. What are the Factors of 39215?

Answer: Factors of 39215 are 1, 5, 11, 23, 31, 55, 115, 155, 253, 341, 713, 1265, 1705, 3565, 7843, 39215. There are 16 integers that are factors of 39215. The greatest factor of 39215 is 39215.

3. What are the Factors of 39220?

Answer: Factors of 39220 are 1, 2, 4, 5, 10, 20, 37, 53, 74, 106, 148, 185, 212, 265, 370, 530, 740, 1060, 1961, 3922, 7844, 9805, 19610, 39220. There are 24 integers that are factors of 39220. The greatest factor of 39220 is 39220.

4. How to Find the LCM of 39215 and 39220?

Answer:

Least Common Multiple of 39215 and 39220 = 307602460

Step 1: Find the prime factorization of 39215

39215 = 5 x 11 x 23 x 31

Step 2: Find the prime factorization of 39220

39220 = 2 x 2 x 5 x 37 x 53

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

LCM = 307602460 = 2 x 2 x 5 x 11 x 23 x 31 x 37 x 53

Step 4: Therefore, the least common multiple of 39215 and 39220 is 307602460.