Least Common Multiple of 9062 and 9064

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 9064 the smallest integer that is 41068984 that is divisible by both numbers.

Least Common Multiple (LCM) of 9062 and 9064 is 41068984.

LCM(9062,9064) = 41068984

LCM of 9062 and 9064

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

LCM of:
and

Least Common Multiple of 9062 and 9064

LCM of 9062 and 9064 is 41068984

Least common multiple can be found by multiplying the highest exponent prime factors of 9062 and 9064. First we will calculate the prime factors of 9062 and 9064.

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 9064


2 9064
2 4532
2 2266
11 1133
103 103
1

Prime factors of 9064 are 2, 11,103. Prime factorization of 9064 in exponential form is:

9064 = 23×111×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 9062 and 9064.

LCM(9062,9064) = 23×111×231×1031×1971
LCM(9062,9064) = 41068984

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 9064

List of positive integer factors of 9064 that divides 9064 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 103, 206, 412, 824, 1133, 2266, 4532, 9064

Least Common Multiple of 9062 and 9064 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 9064, than apply into the LCM equation.

GCF(9062,9064) = 2
LCM(9062,9064) = ( 9062 × 9064) / 2
LCM(9062,9064) = 82137968 / 2
LCM(9062,9064) = 41068984

Properties of LCM 9062 and 9064

(i) The LCM of 9064 and 9062 is associative

LCM of 9062 and 9064 = LCM of 9064 and 9062

Related Least Common Multiples of 9062

Related Least Common Multiples of 9064

Frequently Asked Questions on LCM of 9062 and 9064

1. What is the LCM of 9062 and 9064?

Answer: LCM of 9062 and 9064 is 41068984.

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 9064?

Answer: Factors of 9064 are 1, 2, 4, 8, 11, 22, 44, 88, 103, 206, 412, 824, 1133, 2266, 4532, 9064. There are 16 integers that are factors of 9064. The greatest factor of 9064 is 9064.

4. How to Find the LCM of 9062 and 9064?

Answer:

Least Common Multiple of 9062 and 9064 = 41068984

Step 1: Find the prime factorization of 9062

9062 = 2 x 23 x 197

Step 2: Find the prime factorization of 9064

9064 = 2 x 2 x 2 x 11 x 103

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

LCM = 41068984 = 2 x 2 x 2 x 11 x 23 x 103 x 197

Step 4: Therefore, the least common multiple of 9062 and 9064 is 41068984.