Least Common Multiple of 9046 and 9047

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9046 and 9047 the smallest integer that is 81839162 that is divisible by both numbers.

Least Common Multiple (LCM) of 9046 and 9047 is 81839162.

LCM(9046,9047) = 81839162

LCM of 9046 and 9047

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

LCM of:
and

Least Common Multiple of 9046 and 9047

LCM of 9046 and 9047 is 81839162

Least common multiple can be found by multiplying the highest exponent prime factors of 9046 and 9047. First we will calculate the prime factors of 9046 and 9047.

Prime Factorization of 9046


2 9046
4523 4523
1

Prime factors of 9046 are 2,4523. Prime factorization of 9046 in exponential form is:

9046 = 21×45231

Prime Factorization of 9047


83 9047
109 109
1

Prime factors of 9047 are 83,109. Prime factorization of 9047 in exponential form is:

9047 = 831×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 9046 and 9047.

LCM(9046,9047) = 21×831×1091×45231
LCM(9046,9047) = 81839162

Factors of 9046

List of positive integer factors of 9046 that divides 9046 without a remainder.

1, 2, 4523, 9046

Factors of 9047

List of positive integer factors of 9047 that divides 9047 without a remainder.

1, 83, 109, 9047

Least Common Multiple of 9046 and 9047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9046 and 9047, than apply into the LCM equation.

GCF(9046,9047) = 1
LCM(9046,9047) = ( 9046 × 9047) / 1
LCM(9046,9047) = 81839162 / 1
LCM(9046,9047) = 81839162

Properties of LCM 9046 and 9047

(i) The LCM of 9047 and 9046 is associative

LCM of 9046 and 9047 = LCM of 9047 and 9046

Related Least Common Multiples of 9046

Related Least Common Multiples of 9047

Frequently Asked Questions on LCM of 9046 and 9047

1. What is the LCM of 9046 and 9047?

Answer: LCM of 9046 and 9047 is 81839162.

2. What are the Factors of 9046?

Answer: Factors of 9046 are 1, 2, 4523, 9046. There are 4 integers that are factors of 9046. The greatest factor of 9046 is 9046.

3. What are the Factors of 9047?

Answer: Factors of 9047 are 1, 83, 109, 9047. There are 4 integers that are factors of 9047. The greatest factor of 9047 is 9047.

4. How to Find the LCM of 9046 and 9047?

Answer:

Least Common Multiple of 9046 and 9047 = 81839162

Step 1: Find the prime factorization of 9046

9046 = 2 x 4523

Step 2: Find the prime factorization of 9047

9047 = 83 x 109

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

LCM = 81839162 = 2 x 83 x 109 x 4523

Step 4: Therefore, the least common multiple of 9046 and 9047 is 81839162.