Least Common Multiple of 89189 and 89196

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

• Least Common Multiple of 89189 and 89196 by Prime method
• Least Common Multiple of 89189 and 89196 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89189 and 89196. First we will calculate the prime factors of 89189 and 89196.

Prime Factorization of 89189

Prime factors of 89189 are 89189. Prime factorization of 89189 in exponential form is:

89189 = 89189¹

Prime Factorization of 89196

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

89196 = 2²×3¹×7433¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89189 and 89196.

LCM(89189,89196) = 2²×3¹×7433¹×89189¹
LCM(89189,89196) = 7955302044

Factors of 89189

List of positive integer factors of 89189 that divides 89189 without a remainder.

1, 89189

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89189 and 89196, than apply into the LCM equation.

GCF(89189,89196) = 1
LCM(89189,89196) = ( 89189 × 89196) / 1
LCM(89189,89196) = 7955302044 / 1
LCM(89189,89196) = 7955302044

(i) The LCM of 89196 and 89189 is associative

LCM of 89189 and 89196 = LCM of 89196 and 89189

1. What is the LCM of 89189 and 89196?

Answer: LCM of 89189 and 89196 is 7955302044.

2. What are the Factors of 89189?

Answer: Factors of 89189 are 1, 89189. There are 2 integers that are factors of 89189. The greatest factor of 89189 is 89189.

3. 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.

4. How to Find the LCM of 89189 and 89196?

Answer:

Least Common Multiple of 89189 and 89196 = 7955302044

Step 1: Find the prime factorization of 89189

89189 = 89189

Step 2: Find the prime factorization of 89196

89196 = 2 x 2 x 3 x 7433

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

LCM = 7955302044 = 2 x 2 x 3 x 7433 x 89189

Step 4: Therefore, the least common multiple of 89189 and 89196 is 7955302044.