Least Common Multiple of 10219 and 10220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10219 and 10220 the smallest integer that is 104438180 that is divisible by both numbers.

Least Common Multiple (LCM) of 10219 and 10220 is 104438180.

LCM(10219,10220) = 104438180

LCM of 10219 and 10220

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

LCM of:
and

Least Common Multiple of 10219 and 10220

LCM of 10219 and 10220 is 104438180

Least common multiple can be found by multiplying the highest exponent prime factors of 10219 and 10220. First we will calculate the prime factors of 10219 and 10220.

Prime Factorization of 10219


11 10219
929 929
1

Prime factors of 10219 are 11,929. Prime factorization of 10219 in exponential form is:

10219 = 111×9291

Prime Factorization of 10220


2 10220
2 5110
5 2555
7 511
73 73
1

Prime factors of 10220 are 2, 5, 7,73. Prime factorization of 10220 in exponential form is:

10220 = 22×51×71×731

Now multiplying the highest exponent prime factors to calculate the LCM of 10219 and 10220.

LCM(10219,10220) = 22×51×71×111×731×9291
LCM(10219,10220) = 104438180

Factors of 10219

List of positive integer factors of 10219 that divides 10219 without a remainder.

1, 11, 929, 10219

Factors of 10220

List of positive integer factors of 10220 that divides 10220 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 73, 140, 146, 292, 365, 511, 730, 1022, 1460, 2044, 2555, 5110, 10220

Least Common Multiple of 10219 and 10220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10219 and 10220, than apply into the LCM equation.

GCF(10219,10220) = 1
LCM(10219,10220) = ( 10219 × 10220) / 1
LCM(10219,10220) = 104438180 / 1
LCM(10219,10220) = 104438180

Properties of LCM 10219 and 10220

(i) The LCM of 10220 and 10219 is associative

LCM of 10219 and 10220 = LCM of 10220 and 10219

Related Least Common Multiples of 10219

Related Least Common Multiples of 10220

Frequently Asked Questions on LCM of 10219 and 10220

1. What is the LCM of 10219 and 10220?

Answer: LCM of 10219 and 10220 is 104438180.

2. What are the Factors of 10219?

Answer: Factors of 10219 are 1, 11, 929, 10219. There are 4 integers that are factors of 10219. The greatest factor of 10219 is 10219.

3. What are the Factors of 10220?

Answer: Factors of 10220 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 73, 140, 146, 292, 365, 511, 730, 1022, 1460, 2044, 2555, 5110, 10220. There are 24 integers that are factors of 10220. The greatest factor of 10220 is 10220.

4. How to Find the LCM of 10219 and 10220?

Answer:

Least Common Multiple of 10219 and 10220 = 104438180

Step 1: Find the prime factorization of 10219

10219 = 11 x 929

Step 2: Find the prime factorization of 10220

10220 = 2 x 2 x 5 x 7 x 73

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

LCM = 104438180 = 2 x 2 x 5 x 7 x 11 x 73 x 929

Step 4: Therefore, the least common multiple of 10219 and 10220 is 104438180.