Least Common Multiple of 6208 and 6212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6208 and 6212 the smallest integer that is 9641024 that is divisible by both numbers.

Least Common Multiple (LCM) of 6208 and 6212 is 9641024.

LCM(6208,6212) = 9641024

LCM of 6208 and 6212

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

LCM of:
and

Least Common Multiple of 6208 and 6212

LCM of 6208 and 6212 is 9641024

Least common multiple can be found by multiplying the highest exponent prime factors of 6208 and 6212. First we will calculate the prime factors of 6208 and 6212.

Prime Factorization of 6208


2 6208
2 3104
2 1552
2 776
2 388
2 194
97 97
1

Prime factors of 6208 are 2,97. Prime factorization of 6208 in exponential form is:

6208 = 26×971

Prime Factorization of 6212


2 6212
2 3106
1553 1553
1

Prime factors of 6212 are 2,1553. Prime factorization of 6212 in exponential form is:

6212 = 22×15531

Now multiplying the highest exponent prime factors to calculate the LCM of 6208 and 6212.

LCM(6208,6212) = 26×971×15531
LCM(6208,6212) = 9641024

Factors of 6208

List of positive integer factors of 6208 that divides 6208 without a remainder.

1, 2, 4, 8, 16, 32, 64, 97, 194, 388, 776, 1552, 3104, 6208

Factors of 6212

List of positive integer factors of 6212 that divides 6212 without a remainder.

1, 2, 4, 1553, 3106, 6212

Least Common Multiple of 6208 and 6212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6208 and 6212, than apply into the LCM equation.

GCF(6208,6212) = 4
LCM(6208,6212) = ( 6208 × 6212) / 4
LCM(6208,6212) = 38564096 / 4
LCM(6208,6212) = 9641024

Properties of LCM 6208 and 6212

(i) The LCM of 6212 and 6208 is associative

LCM of 6208 and 6212 = LCM of 6212 and 6208

Related Least Common Multiples of 6208

Related Least Common Multiples of 6212

Frequently Asked Questions on LCM of 6208 and 6212

1. What is the LCM of 6208 and 6212?

Answer: LCM of 6208 and 6212 is 9641024.

2. What are the Factors of 6208?

Answer: Factors of 6208 are 1, 2, 4, 8, 16, 32, 64, 97, 194, 388, 776, 1552, 3104, 6208. There are 14 integers that are factors of 6208. The greatest factor of 6208 is 6208.

3. What are the Factors of 6212?

Answer: Factors of 6212 are 1, 2, 4, 1553, 3106, 6212. There are 6 integers that are factors of 6212. The greatest factor of 6212 is 6212.

4. How to Find the LCM of 6208 and 6212?

Answer:

Least Common Multiple of 6208 and 6212 = 9641024

Step 1: Find the prime factorization of 6208

6208 = 2 x 2 x 2 x 2 x 2 x 2 x 97

Step 2: Find the prime factorization of 6212

6212 = 2 x 2 x 1553

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

LCM = 9641024 = 2 x 2 x 2 x 2 x 2 x 2 x 97 x 1553

Step 4: Therefore, the least common multiple of 6208 and 6212 is 9641024.