Least Common Multiple of 4062 and 4064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4062 and 4064 the smallest integer that is 8253984 that is divisible by both numbers.

Least Common Multiple (LCM) of 4062 and 4064 is 8253984.

LCM(4062,4064) = 8253984

LCM of 4062 and 4064

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

LCM of:
and

Least Common Multiple of 4062 and 4064

LCM of 4062 and 4064 is 8253984

Least common multiple can be found by multiplying the highest exponent prime factors of 4062 and 4064. First we will calculate the prime factors of 4062 and 4064.

Prime Factorization of 4062


2 4062
3 2031
677 677
1

Prime factors of 4062 are 2, 3,677. Prime factorization of 4062 in exponential form is:

4062 = 21×31×6771

Prime Factorization of 4064


2 4064
2 2032
2 1016
2 508
2 254
127 127
1

Prime factors of 4064 are 2,127. Prime factorization of 4064 in exponential form is:

4064 = 25×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 4062 and 4064.

LCM(4062,4064) = 25×31×1271×6771
LCM(4062,4064) = 8253984

Factors of 4062

List of positive integer factors of 4062 that divides 4062 without a remainder.

1, 2, 3, 6, 677, 1354, 2031, 4062

Factors of 4064

List of positive integer factors of 4064 that divides 4064 without a remainder.

1, 2, 4, 8, 16, 32, 127, 254, 508, 1016, 2032, 4064

Least Common Multiple of 4062 and 4064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4062 and 4064, than apply into the LCM equation.

GCF(4062,4064) = 2
LCM(4062,4064) = ( 4062 × 4064) / 2
LCM(4062,4064) = 16507968 / 2
LCM(4062,4064) = 8253984

Properties of LCM 4062 and 4064

(i) The LCM of 4064 and 4062 is associative

LCM of 4062 and 4064 = LCM of 4064 and 4062

Related Least Common Multiples of 4062

Related Least Common Multiples of 4064

Frequently Asked Questions on LCM of 4062 and 4064

1. What is the LCM of 4062 and 4064?

Answer: LCM of 4062 and 4064 is 8253984.

2. What are the Factors of 4062?

Answer: Factors of 4062 are 1, 2, 3, 6, 677, 1354, 2031, 4062. There are 8 integers that are factors of 4062. The greatest factor of 4062 is 4062.

3. What are the Factors of 4064?

Answer: Factors of 4064 are 1, 2, 4, 8, 16, 32, 127, 254, 508, 1016, 2032, 4064. There are 12 integers that are factors of 4064. The greatest factor of 4064 is 4064.

4. How to Find the LCM of 4062 and 4064?

Answer:

Least Common Multiple of 4062 and 4064 = 8253984

Step 1: Find the prime factorization of 4062

4062 = 2 x 3 x 677

Step 2: Find the prime factorization of 4064

4064 = 2 x 2 x 2 x 2 x 2 x 127

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

LCM = 8253984 = 2 x 2 x 2 x 2 x 2 x 3 x 127 x 677

Step 4: Therefore, the least common multiple of 4062 and 4064 is 8253984.