Least Common Multiple of 190 and 196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 190 and 196 the smallest integer that is 18620 that is divisible by both numbers.

Least Common Multiple (LCM) of 190 and 196 is 18620.

LCM(190,196) = 18620

LCM of 190 and 196

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

LCM of:
and

Least Common Multiple of 190 and 196

LCM of 190 and 196 is 18620

Least common multiple can be found by multiplying the highest exponent prime factors of 190 and 196. First we will calculate the prime factors of 190 and 196.

Prime Factorization of 190


2 190
5 95
19 19
1

Prime factors of 190 are 2, 5,19. Prime factorization of 190 in exponential form is:

190 = 21×51×191

Prime Factorization of 196


2 196
2 98
7 49
7 7
1

Prime factors of 196 are 2,7. Prime factorization of 196 in exponential form is:

196 = 22×72

Now multiplying the highest exponent prime factors to calculate the LCM of 190 and 196.

LCM(190,196) = 22×51×72×191
LCM(190,196) = 18620

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Least Common Multiple of 190 and 196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 190 and 196, than apply into the LCM equation.

GCF(190,196) = 2
LCM(190,196) = ( 190 × 196) / 2
LCM(190,196) = 37240 / 2
LCM(190,196) = 18620

Properties of LCM 190 and 196

(i) The LCM of 196 and 190 is associative

LCM of 190 and 196 = LCM of 196 and 190

Related Least Common Multiples of 190

Related Least Common Multiples of 196

Frequently Asked Questions on LCM of 190 and 196

1. What is the LCM of 190 and 196?

Answer: LCM of 190 and 196 is 18620.

2. What are the Factors of 190?

Answer: Factors of 190 are 1, 2, 5, 10, 19, 38, 95, 190. There are 8 integers that are factors of 190. The greatest factor of 190 is 190.

3. What are the Factors of 196?

Answer: Factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196. There are 9 integers that are factors of 196. The greatest factor of 196 is 196.

4. How to Find the LCM of 190 and 196?

Answer:

Least Common Multiple of 190 and 196 = 18620

Step 1: Find the prime factorization of 190

190 = 2 x 5 x 19

Step 2: Find the prime factorization of 196

196 = 2 x 2 x 7 x 7

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

LCM = 18620 = 2 x 2 x 5 x 7 x 7 x 19

Step 4: Therefore, the least common multiple of 190 and 196 is 18620.