Least Common Multiple of 2190 and 2192

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 2192 the smallest integer that is 2400240 that is divisible by both numbers.

Least Common Multiple (LCM) of 2190 and 2192 is 2400240.

LCM(2190,2192) = 2400240

LCM of 2190 and 2192

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

LCM of:
and

Least Common Multiple of 2190 and 2192

LCM of 2190 and 2192 is 2400240

Least common multiple can be found by multiplying the highest exponent prime factors of 2190 and 2192. First we will calculate the prime factors of 2190 and 2192.

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 2192


2 2192
2 1096
2 548
2 274
137 137
1

Prime factors of 2192 are 2,137. Prime factorization of 2192 in exponential form is:

2192 = 24×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 2190 and 2192.

LCM(2190,2192) = 24×31×51×731×1371
LCM(2190,2192) = 2400240

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 2192

List of positive integer factors of 2192 that divides 2192 without a remainder.

1, 2, 4, 8, 16, 137, 274, 548, 1096, 2192

Least Common Multiple of 2190 and 2192 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 2192, than apply into the LCM equation.

GCF(2190,2192) = 2
LCM(2190,2192) = ( 2190 × 2192) / 2
LCM(2190,2192) = 4800480 / 2
LCM(2190,2192) = 2400240

Properties of LCM 2190 and 2192

(i) The LCM of 2192 and 2190 is associative

LCM of 2190 and 2192 = LCM of 2192 and 2190

Related Least Common Multiples of 2190

Related Least Common Multiples of 2192

Frequently Asked Questions on LCM of 2190 and 2192

1. What is the LCM of 2190 and 2192?

Answer: LCM of 2190 and 2192 is 2400240.

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 2192?

Answer: Factors of 2192 are 1, 2, 4, 8, 16, 137, 274, 548, 1096, 2192. There are 10 integers that are factors of 2192. The greatest factor of 2192 is 2192.

4. How to Find the LCM of 2190 and 2192?

Answer:

Least Common Multiple of 2190 and 2192 = 2400240

Step 1: Find the prime factorization of 2190

2190 = 2 x 3 x 5 x 73

Step 2: Find the prime factorization of 2192

2192 = 2 x 2 x 2 x 2 x 137

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

LCM = 2400240 = 2 x 2 x 2 x 2 x 3 x 5 x 73 x 137

Step 4: Therefore, the least common multiple of 2190 and 2192 is 2400240.