Least Common Multiple of 5190 and 5196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5190 and 5196 the smallest integer that is 4494540 that is divisible by both numbers.

Least Common Multiple (LCM) of 5190 and 5196 is 4494540.

LCM(5190,5196) = 4494540

LCM of 5190 and 5196

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

LCM of:
and

Least Common Multiple of 5190 and 5196

LCM of 5190 and 5196 is 4494540

Least common multiple can be found by multiplying the highest exponent prime factors of 5190 and 5196. First we will calculate the prime factors of 5190 and 5196.

Prime Factorization of 5190


2 5190
3 2595
5 865
173 173
1

Prime factors of 5190 are 2, 3, 5,173. Prime factorization of 5190 in exponential form is:

5190 = 21×31×51×1731

Prime Factorization of 5196


2 5196
2 2598
3 1299
433 433
1

Prime factors of 5196 are 2, 3,433. Prime factorization of 5196 in exponential form is:

5196 = 22×31×4331

Now multiplying the highest exponent prime factors to calculate the LCM of 5190 and 5196.

LCM(5190,5196) = 22×31×51×1731×4331
LCM(5190,5196) = 4494540

Factors of 5190

List of positive integer factors of 5190 that divides 5190 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 173, 346, 519, 865, 1038, 1730, 2595, 5190

Factors of 5196

List of positive integer factors of 5196 that divides 5196 without a remainder.

1, 2, 3, 4, 6, 12, 433, 866, 1299, 1732, 2598, 5196

Least Common Multiple of 5190 and 5196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5190 and 5196, than apply into the LCM equation.

GCF(5190,5196) = 6
LCM(5190,5196) = ( 5190 × 5196) / 6
LCM(5190,5196) = 26967240 / 6
LCM(5190,5196) = 4494540

Properties of LCM 5190 and 5196

(i) The LCM of 5196 and 5190 is associative

LCM of 5190 and 5196 = LCM of 5196 and 5190

Related Least Common Multiples of 5190

Related Least Common Multiples of 5196

Frequently Asked Questions on LCM of 5190 and 5196

1. What is the LCM of 5190 and 5196?

Answer: LCM of 5190 and 5196 is 4494540.

2. What are the Factors of 5190?

Answer: Factors of 5190 are 1, 2, 3, 5, 6, 10, 15, 30, 173, 346, 519, 865, 1038, 1730, 2595, 5190. There are 16 integers that are factors of 5190. The greatest factor of 5190 is 5190.

3. What are the Factors of 5196?

Answer: Factors of 5196 are 1, 2, 3, 4, 6, 12, 433, 866, 1299, 1732, 2598, 5196. There are 12 integers that are factors of 5196. The greatest factor of 5196 is 5196.

4. How to Find the LCM of 5190 and 5196?

Answer:

Least Common Multiple of 5190 and 5196 = 4494540

Step 1: Find the prime factorization of 5190

5190 = 2 x 3 x 5 x 173

Step 2: Find the prime factorization of 5196

5196 = 2 x 2 x 3 x 433

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

LCM = 4494540 = 2 x 2 x 3 x 5 x 173 x 433

Step 4: Therefore, the least common multiple of 5190 and 5196 is 4494540.