Least Common Multiple of 4064 and 4070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4064 and 4070 the smallest integer that is 8270240 that is divisible by both numbers.

Least Common Multiple (LCM) of 4064 and 4070 is 8270240.

LCM(4064,4070) = 8270240

LCM of 4064 and 4070

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

LCM of:
and

Least Common Multiple of 4064 and 4070

LCM of 4064 and 4070 is 8270240

Least common multiple can be found by multiplying the highest exponent prime factors of 4064 and 4070. First we will calculate the prime factors of 4064 and 4070.

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

Prime Factorization of 4070


2 4070
5 2035
11 407
37 37
1

Prime factors of 4070 are 2, 5, 11,37. Prime factorization of 4070 in exponential form is:

4070 = 21×51×111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 4064 and 4070.

LCM(4064,4070) = 25×51×111×371×1271
LCM(4064,4070) = 8270240

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

Factors of 4070

List of positive integer factors of 4070 that divides 4070 without a remainder.

1, 2, 5, 10, 11, 22, 37, 55, 74, 110, 185, 370, 407, 814, 2035, 4070

Least Common Multiple of 4064 and 4070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4064 and 4070, than apply into the LCM equation.

GCF(4064,4070) = 2
LCM(4064,4070) = ( 4064 × 4070) / 2
LCM(4064,4070) = 16540480 / 2
LCM(4064,4070) = 8270240

Properties of LCM 4064 and 4070

(i) The LCM of 4070 and 4064 is associative

LCM of 4064 and 4070 = LCM of 4070 and 4064

Related Least Common Multiples of 4064

Related Least Common Multiples of 4070

Frequently Asked Questions on LCM of 4064 and 4070

1. What is the LCM of 4064 and 4070?

Answer: LCM of 4064 and 4070 is 8270240.

2. 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.

3. What are the Factors of 4070?

Answer: Factors of 4070 are 1, 2, 5, 10, 11, 22, 37, 55, 74, 110, 185, 370, 407, 814, 2035, 4070. There are 16 integers that are factors of 4070. The greatest factor of 4070 is 4070.

4. How to Find the LCM of 4064 and 4070?

Answer:

Least Common Multiple of 4064 and 4070 = 8270240

Step 1: Find the prime factorization of 4064

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

Step 2: Find the prime factorization of 4070

4070 = 2 x 5 x 11 x 37

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

LCM = 8270240 = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 37 x 127

Step 4: Therefore, the least common multiple of 4064 and 4070 is 8270240.