Least Common Multiple of 89123 and 89130

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

• Least Common Multiple of 89123 and 89130 by Prime method
• Least Common Multiple of 89123 and 89130 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89123 and 89130. First we will calculate the prime factors of 89123 and 89130.

Prime Factorization of 89123

Prime factors of 89123 are 89123. Prime factorization of 89123 in exponential form is:

89123 = 89123¹

Prime Factorization of 89130

Prime factors of 89130 are 2, 3, 5,2971. Prime factorization of 89130 in exponential form is:

89130 = 2¹×3¹×5¹×2971¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89123 and 89130.

LCM(89123,89130) = 2¹×3¹×5¹×2971¹×89123¹
LCM(89123,89130) = 7943532990

Factors of 89123

List of positive integer factors of 89123 that divides 89123 without a remainder.

1, 89123

Factors of 89130

List of positive integer factors of 89130 that divides 89130 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2971, 5942, 8913, 14855, 17826, 29710, 44565, 89130

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89123 and 89130, than apply into the LCM equation.

GCF(89123,89130) = 1
LCM(89123,89130) = ( 89123 × 89130) / 1
LCM(89123,89130) = 7943532990 / 1
LCM(89123,89130) = 7943532990

(i) The LCM of 89130 and 89123 is associative

LCM of 89123 and 89130 = LCM of 89130 and 89123

1. What is the LCM of 89123 and 89130?

Answer: LCM of 89123 and 89130 is 7943532990.

2. What are the Factors of 89123?

Answer: Factors of 89123 are 1, 89123. There are 2 integers that are factors of 89123. The greatest factor of 89123 is 89123.

3. What are the Factors of 89130?

Answer: Factors of 89130 are 1, 2, 3, 5, 6, 10, 15, 30, 2971, 5942, 8913, 14855, 17826, 29710, 44565, 89130. There are 16 integers that are factors of 89130. The greatest factor of 89130 is 89130.

4. How to Find the LCM of 89123 and 89130?

Answer:

Least Common Multiple of 89123 and 89130 = 7943532990

Step 1: Find the prime factorization of 89123

89123 = 89123

Step 2: Find the prime factorization of 89130

89130 = 2 x 3 x 5 x 2971

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

LCM = 7943532990 = 2 x 3 x 5 x 2971 x 89123

Step 4: Therefore, the least common multiple of 89123 and 89130 is 7943532990.