Least Common Multiple of 215 and 218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 215 and 218 the smallest integer that is 46870 that is divisible by both numbers.

Least Common Multiple (LCM) of 215 and 218 is 46870.

LCM(215,218) = 46870

LCM of 215 and 218

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

LCM of:
and

Least Common Multiple of 215 and 218

LCM of 215 and 218 is 46870

Least common multiple can be found by multiplying the highest exponent prime factors of 215 and 218. First we will calculate the prime factors of 215 and 218.

Prime Factorization of 215


5 215
43 43
1

Prime factors of 215 are 5,43. Prime factorization of 215 in exponential form is:

215 = 51×431

Prime Factorization of 218


2 218
109 109
1

Prime factors of 218 are 2,109. Prime factorization of 218 in exponential form is:

218 = 21×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 215 and 218.

LCM(215,218) = 21×51×431×1091
LCM(215,218) = 46870

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Least Common Multiple of 215 and 218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 215 and 218, than apply into the LCM equation.

GCF(215,218) = 1
LCM(215,218) = ( 215 × 218) / 1
LCM(215,218) = 46870 / 1
LCM(215,218) = 46870

Properties of LCM 215 and 218

(i) The LCM of 218 and 215 is associative

LCM of 215 and 218 = LCM of 218 and 215

Related Least Common Multiples of 215

Related Least Common Multiples of 218

Frequently Asked Questions on LCM of 215 and 218

1. What is the LCM of 215 and 218?

Answer: LCM of 215 and 218 is 46870.

2. What are the Factors of 215?

Answer: Factors of 215 are 1, 5, 43, 215. There are 4 integers that are factors of 215. The greatest factor of 215 is 215.

3. What are the Factors of 218?

Answer: Factors of 218 are 1, 2, 109, 218. There are 4 integers that are factors of 218. The greatest factor of 218 is 218.

4. How to Find the LCM of 215 and 218?

Answer:

Least Common Multiple of 215 and 218 = 46870

Step 1: Find the prime factorization of 215

215 = 5 x 43

Step 2: Find the prime factorization of 218

218 = 2 x 109

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

LCM = 46870 = 2 x 5 x 43 x 109

Step 4: Therefore, the least common multiple of 215 and 218 is 46870.