Least Common Multiple of 89118 and 89123

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

• Least Common Multiple of 89118 and 89123 by Prime method
• Least Common Multiple of 89118 and 89123 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89118 and 89123. First we will calculate the prime factors of 89118 and 89123.

Prime Factorization of 89118

Prime factors of 89118 are 2, 3,4951. Prime factorization of 89118 in exponential form is:

89118 = 2¹×3²×4951¹

Prime Factorization of 89123

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

89123 = 89123¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89118 and 89123.

LCM(89118,89123) = 2¹×3²×4951¹×89123¹
LCM(89118,89123) = 7942463514

Factors of 89118

List of positive integer factors of 89118 that divides 89118 without a remainder.

1, 2, 3, 6, 9, 18, 4951, 9902, 14853, 29706, 44559, 89118

Factors of 89123

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

1, 89123

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89118 and 89123, than apply into the LCM equation.

GCF(89118,89123) = 1
LCM(89118,89123) = ( 89118 × 89123) / 1
LCM(89118,89123) = 7942463514 / 1
LCM(89118,89123) = 7942463514

(i) The LCM of 89123 and 89118 is associative

LCM of 89118 and 89123 = LCM of 89123 and 89118

1. What is the LCM of 89118 and 89123?

Answer: LCM of 89118 and 89123 is 7942463514.

2. What are the Factors of 89118?

Answer: Factors of 89118 are 1, 2, 3, 6, 9, 18, 4951, 9902, 14853, 29706, 44559, 89118. There are 12 integers that are factors of 89118. The greatest factor of 89118 is 89118.

3. 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.

4. How to Find the LCM of 89118 and 89123?

Answer:

Least Common Multiple of 89118 and 89123 = 7942463514

Step 1: Find the prime factorization of 89118

89118 = 2 x 3 x 3 x 4951

Step 2: Find the prime factorization of 89123

89123 = 89123

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

LCM = 7942463514 = 2 x 3 x 3 x 4951 x 89123

Step 4: Therefore, the least common multiple of 89118 and 89123 is 7942463514.