Least Common Multiple of 7056 and 7064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7056 and 7064 the smallest integer that is 6230448 that is divisible by both numbers.

Least Common Multiple (LCM) of 7056 and 7064 is 6230448.

LCM(7056,7064) = 6230448

LCM of 7056 and 7064

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

LCM of:
and

Least Common Multiple of 7056 and 7064

LCM of 7056 and 7064 is 6230448

Least common multiple can be found by multiplying the highest exponent prime factors of 7056 and 7064. First we will calculate the prime factors of 7056 and 7064.

Prime Factorization of 7056


2 7056
2 3528
2 1764
2 882
3 441
3 147
7 49
7 7
1

Prime factors of 7056 are 2, 3,7. Prime factorization of 7056 in exponential form is:

7056 = 24×32×72

Prime Factorization of 7064


2 7064
2 3532
2 1766
883 883
1

Prime factors of 7064 are 2,883. Prime factorization of 7064 in exponential form is:

7064 = 23×8831

Now multiplying the highest exponent prime factors to calculate the LCM of 7056 and 7064.

LCM(7056,7064) = 24×32×72×8831
LCM(7056,7064) = 6230448

Factors of 7056

List of positive integer factors of 7056 that divides 7056 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 49, 56, 63, 72, 84, 98, 112, 126, 144, 147, 168, 196, 252, 294, 336, 392, 441, 504, 588, 784, 882, 1008, 1176, 1764, 2352, 3528, 7056

Factors of 7064

List of positive integer factors of 7064 that divides 7064 without a remainder.

1, 2, 4, 8, 883, 1766, 3532, 7064

Least Common Multiple of 7056 and 7064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7056 and 7064, than apply into the LCM equation.

GCF(7056,7064) = 8
LCM(7056,7064) = ( 7056 × 7064) / 8
LCM(7056,7064) = 49843584 / 8
LCM(7056,7064) = 6230448

Properties of LCM 7056 and 7064

(i) The LCM of 7064 and 7056 is associative

LCM of 7056 and 7064 = LCM of 7064 and 7056

Related Least Common Multiples of 7056

Related Least Common Multiples of 7064

Frequently Asked Questions on LCM of 7056 and 7064

1. What is the LCM of 7056 and 7064?

Answer: LCM of 7056 and 7064 is 6230448.

2. What are the Factors of 7056?

Answer: Factors of 7056 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 49, 56, 63, 72, 84, 98, 112, 126, 144, 147, 168, 196, 252, 294, 336, 392, 441, 504, 588, 784, 882, 1008, 1176, 1764, 2352, 3528, 7056. There are 45 integers that are factors of 7056. The greatest factor of 7056 is 7056.

3. What are the Factors of 7064?

Answer: Factors of 7064 are 1, 2, 4, 8, 883, 1766, 3532, 7064. There are 8 integers that are factors of 7064. The greatest factor of 7064 is 7064.

4. How to Find the LCM of 7056 and 7064?

Answer:

Least Common Multiple of 7056 and 7064 = 6230448

Step 1: Find the prime factorization of 7056

7056 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7

Step 2: Find the prime factorization of 7064

7064 = 2 x 2 x 2 x 883

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

LCM = 6230448 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 883

Step 4: Therefore, the least common multiple of 7056 and 7064 is 6230448.