Least Common Multiple of 89196 and 89203

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

• Least Common Multiple of 89196 and 89203 by Prime method
• Least Common Multiple of 89196 and 89203 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89196 and 89203. First we will calculate the prime factors of 89196 and 89203.

Prime Factorization of 89196

Prime factors of 89196 are 2, 3,7433. Prime factorization of 89196 in exponential form is:

89196 = 2²×3¹×7433¹

Prime Factorization of 89203

Prime factors of 89203 are 89203. Prime factorization of 89203 in exponential form is:

89203 = 89203¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89196 and 89203.

LCM(89196,89203) = 2²×3¹×7433¹×89203¹
LCM(89196,89203) = 7956550788

Factors of 89196

List of positive integer factors of 89196 that divides 89196 without a remainder.

1, 2, 3, 4, 6, 12, 7433, 14866, 22299, 29732, 44598, 89196

Factors of 89203

List of positive integer factors of 89203 that divides 89203 without a remainder.

1, 89203

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89196 and 89203, than apply into the LCM equation.

GCF(89196,89203) = 1
LCM(89196,89203) = ( 89196 × 89203) / 1
LCM(89196,89203) = 7956550788 / 1
LCM(89196,89203) = 7956550788

(i) The LCM of 89203 and 89196 is associative

LCM of 89196 and 89203 = LCM of 89203 and 89196

1. What is the LCM of 89196 and 89203?

Answer: LCM of 89196 and 89203 is 7956550788.

2. What are the Factors of 89196?

Answer: Factors of 89196 are 1, 2, 3, 4, 6, 12, 7433, 14866, 22299, 29732, 44598, 89196. There are 12 integers that are factors of 89196. The greatest factor of 89196 is 89196.

3. What are the Factors of 89203?

Answer: Factors of 89203 are 1, 89203. There are 2 integers that are factors of 89203. The greatest factor of 89203 is 89203.

4. How to Find the LCM of 89196 and 89203?

Answer:

Least Common Multiple of 89196 and 89203 = 7956550788

Step 1: Find the prime factorization of 89196

89196 = 2 x 2 x 3 x 7433

Step 2: Find the prime factorization of 89203

89203 = 89203

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

LCM = 7956550788 = 2 x 2 x 3 x 7433 x 89203

Step 4: Therefore, the least common multiple of 89196 and 89203 is 7956550788.