Least Common Multiple of 6198 and 6204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6198 and 6204 the smallest integer that is 6408732 that is divisible by both numbers.

Least Common Multiple (LCM) of 6198 and 6204 is 6408732.

LCM(6198,6204) = 6408732

LCM of 6198 and 6204

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

LCM of:
and

Least Common Multiple of 6198 and 6204

LCM of 6198 and 6204 is 6408732

Least common multiple can be found by multiplying the highest exponent prime factors of 6198 and 6204. First we will calculate the prime factors of 6198 and 6204.

Prime Factorization of 6198


2 6198
3 3099
1033 1033
1

Prime factors of 6198 are 2, 3,1033. Prime factorization of 6198 in exponential form is:

6198 = 21×31×10331

Prime Factorization of 6204


2 6204
2 3102
3 1551
11 517
47 47
1

Prime factors of 6204 are 2, 3, 11,47. Prime factorization of 6204 in exponential form is:

6204 = 22×31×111×471

Now multiplying the highest exponent prime factors to calculate the LCM of 6198 and 6204.

LCM(6198,6204) = 22×31×111×471×10331
LCM(6198,6204) = 6408732

Factors of 6198

List of positive integer factors of 6198 that divides 6198 without a remainder.

1, 2, 3, 6, 1033, 2066, 3099, 6198

Factors of 6204

List of positive integer factors of 6204 that divides 6204 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 47, 66, 94, 132, 141, 188, 282, 517, 564, 1034, 1551, 2068, 3102, 6204

Least Common Multiple of 6198 and 6204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6198 and 6204, than apply into the LCM equation.

GCF(6198,6204) = 6
LCM(6198,6204) = ( 6198 × 6204) / 6
LCM(6198,6204) = 38452392 / 6
LCM(6198,6204) = 6408732

Properties of LCM 6198 and 6204

(i) The LCM of 6204 and 6198 is associative

LCM of 6198 and 6204 = LCM of 6204 and 6198

Related Least Common Multiples of 6198

Related Least Common Multiples of 6204

Frequently Asked Questions on LCM of 6198 and 6204

1. What is the LCM of 6198 and 6204?

Answer: LCM of 6198 and 6204 is 6408732.

2. What are the Factors of 6198?

Answer: Factors of 6198 are 1, 2, 3, 6, 1033, 2066, 3099, 6198. There are 8 integers that are factors of 6198. The greatest factor of 6198 is 6198.

3. What are the Factors of 6204?

Answer: Factors of 6204 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 47, 66, 94, 132, 141, 188, 282, 517, 564, 1034, 1551, 2068, 3102, 6204. There are 24 integers that are factors of 6204. The greatest factor of 6204 is 6204.

4. How to Find the LCM of 6198 and 6204?

Answer:

Least Common Multiple of 6198 and 6204 = 6408732

Step 1: Find the prime factorization of 6198

6198 = 2 x 3 x 1033

Step 2: Find the prime factorization of 6204

6204 = 2 x 2 x 3 x 11 x 47

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

LCM = 6408732 = 2 x 2 x 3 x 11 x 47 x 1033

Step 4: Therefore, the least common multiple of 6198 and 6204 is 6408732.