Least Common Multiple of 9062 and 9070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9062 and 9070 the smallest integer that is 41096170 that is divisible by both numbers.

Least Common Multiple (LCM) of 9062 and 9070 is 41096170.

LCM(9062,9070) = 41096170

LCM of 9062 and 9070

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

LCM of:
and

Least Common Multiple of 9062 and 9070

LCM of 9062 and 9070 is 41096170

Least common multiple can be found by multiplying the highest exponent prime factors of 9062 and 9070. First we will calculate the prime factors of 9062 and 9070.

Prime Factorization of 9062


2 9062
23 4531
197 197
1

Prime factors of 9062 are 2, 23,197. Prime factorization of 9062 in exponential form is:

9062 = 21×231×1971

Prime Factorization of 9070


2 9070
5 4535
907 907
1

Prime factors of 9070 are 2, 5,907. Prime factorization of 9070 in exponential form is:

9070 = 21×51×9071

Now multiplying the highest exponent prime factors to calculate the LCM of 9062 and 9070.

LCM(9062,9070) = 21×51×231×1971×9071
LCM(9062,9070) = 41096170

Factors of 9062

List of positive integer factors of 9062 that divides 9062 without a remainder.

1, 2, 23, 46, 197, 394, 4531, 9062

Factors of 9070

List of positive integer factors of 9070 that divides 9070 without a remainder.

1, 2, 5, 10, 907, 1814, 4535, 9070

Least Common Multiple of 9062 and 9070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9062 and 9070, than apply into the LCM equation.

GCF(9062,9070) = 2
LCM(9062,9070) = ( 9062 × 9070) / 2
LCM(9062,9070) = 82192340 / 2
LCM(9062,9070) = 41096170

Properties of LCM 9062 and 9070

(i) The LCM of 9070 and 9062 is associative

LCM of 9062 and 9070 = LCM of 9070 and 9062

Related Least Common Multiples of 9062

Related Least Common Multiples of 9070

Frequently Asked Questions on LCM of 9062 and 9070

1. What is the LCM of 9062 and 9070?

Answer: LCM of 9062 and 9070 is 41096170.

2. What are the Factors of 9062?

Answer: Factors of 9062 are 1, 2, 23, 46, 197, 394, 4531, 9062. There are 8 integers that are factors of 9062. The greatest factor of 9062 is 9062.

3. What are the Factors of 9070?

Answer: Factors of 9070 are 1, 2, 5, 10, 907, 1814, 4535, 9070. There are 8 integers that are factors of 9070. The greatest factor of 9070 is 9070.

4. How to Find the LCM of 9062 and 9070?

Answer:

Least Common Multiple of 9062 and 9070 = 41096170

Step 1: Find the prime factorization of 9062

9062 = 2 x 23 x 197

Step 2: Find the prime factorization of 9070

9070 = 2 x 5 x 907

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

LCM = 41096170 = 2 x 5 x 23 x 197 x 907

Step 4: Therefore, the least common multiple of 9062 and 9070 is 41096170.