Least Common Multiple of 219 and 226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 219 and 226 the smallest integer that is 49494 that is divisible by both numbers.

Least Common Multiple (LCM) of 219 and 226 is 49494.

LCM(219,226) = 49494

LCM of 219 and 226

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

LCM of:
and

Least Common Multiple of 219 and 226

LCM of 219 and 226 is 49494

Least common multiple can be found by multiplying the highest exponent prime factors of 219 and 226. First we will calculate the prime factors of 219 and 226.

Prime Factorization of 219


3 219
73 73
1

Prime factors of 219 are 3,73. Prime factorization of 219 in exponential form is:

219 = 31×731

Prime Factorization of 226


2 226
113 113
1

Prime factors of 226 are 2,113. Prime factorization of 226 in exponential form is:

226 = 21×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 219 and 226.

LCM(219,226) = 21×31×731×1131
LCM(219,226) = 49494

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Least Common Multiple of 219 and 226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 219 and 226, than apply into the LCM equation.

GCF(219,226) = 1
LCM(219,226) = ( 219 × 226) / 1
LCM(219,226) = 49494 / 1
LCM(219,226) = 49494

Properties of LCM 219 and 226

(i) The LCM of 226 and 219 is associative

LCM of 219 and 226 = LCM of 226 and 219

Related Least Common Multiples of 219

Related Least Common Multiples of 226

Frequently Asked Questions on LCM of 219 and 226

1. What is the LCM of 219 and 226?

Answer: LCM of 219 and 226 is 49494.

2. What are the Factors of 219?

Answer: Factors of 219 are 1, 3, 73, 219. There are 4 integers that are factors of 219. The greatest factor of 219 is 219.

3. What are the Factors of 226?

Answer: Factors of 226 are 1, 2, 113, 226. There are 4 integers that are factors of 226. The greatest factor of 226 is 226.

4. How to Find the LCM of 219 and 226?

Answer:

Least Common Multiple of 219 and 226 = 49494

Step 1: Find the prime factorization of 219

219 = 3 x 73

Step 2: Find the prime factorization of 226

226 = 2 x 113

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

LCM = 49494 = 2 x 3 x 73 x 113

Step 4: Therefore, the least common multiple of 219 and 226 is 49494.