Least Common Multiple of 2190 and 2194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2190 and 2194 the smallest integer that is 2402430 that is divisible by both numbers.

Least Common Multiple (LCM) of 2190 and 2194 is 2402430.

LCM(2190,2194) = 2402430

LCM of 2190 and 2194

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

LCM of:
and

Least Common Multiple of 2190 and 2194

LCM of 2190 and 2194 is 2402430

Least common multiple can be found by multiplying the highest exponent prime factors of 2190 and 2194. First we will calculate the prime factors of 2190 and 2194.

Prime Factorization of 2190


2 2190
3 1095
5 365
73 73
1

Prime factors of 2190 are 2, 3, 5,73. Prime factorization of 2190 in exponential form is:

2190 = 21×31×51×731

Prime Factorization of 2194


2 2194
1097 1097
1

Prime factors of 2194 are 2,1097. Prime factorization of 2194 in exponential form is:

2194 = 21×10971

Now multiplying the highest exponent prime factors to calculate the LCM of 2190 and 2194.

LCM(2190,2194) = 21×31×51×731×10971
LCM(2190,2194) = 2402430

Factors of 2190

List of positive integer factors of 2190 that divides 2190 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 73, 146, 219, 365, 438, 730, 1095, 2190

Factors of 2194

List of positive integer factors of 2194 that divides 2194 without a remainder.

1, 2, 1097, 2194

Least Common Multiple of 2190 and 2194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2190 and 2194, than apply into the LCM equation.

GCF(2190,2194) = 2
LCM(2190,2194) = ( 2190 × 2194) / 2
LCM(2190,2194) = 4804860 / 2
LCM(2190,2194) = 2402430

Properties of LCM 2190 and 2194

(i) The LCM of 2194 and 2190 is associative

LCM of 2190 and 2194 = LCM of 2194 and 2190

Related Least Common Multiples of 2190

Related Least Common Multiples of 2194

Frequently Asked Questions on LCM of 2190 and 2194

1. What is the LCM of 2190 and 2194?

Answer: LCM of 2190 and 2194 is 2402430.

2. What are the Factors of 2190?

Answer: Factors of 2190 are 1, 2, 3, 5, 6, 10, 15, 30, 73, 146, 219, 365, 438, 730, 1095, 2190. There are 16 integers that are factors of 2190. The greatest factor of 2190 is 2190.

3. What are the Factors of 2194?

Answer: Factors of 2194 are 1, 2, 1097, 2194. There are 4 integers that are factors of 2194. The greatest factor of 2194 is 2194.

4. How to Find the LCM of 2190 and 2194?

Answer:

Least Common Multiple of 2190 and 2194 = 2402430

Step 1: Find the prime factorization of 2190

2190 = 2 x 3 x 5 x 73

Step 2: Find the prime factorization of 2194

2194 = 2 x 1097

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

LCM = 2402430 = 2 x 3 x 5 x 73 x 1097

Step 4: Therefore, the least common multiple of 2190 and 2194 is 2402430.