Least Common Multiple of 7056 and 7063

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 7063 the smallest integer that is 7119504 that is divisible by both numbers.

Least Common Multiple (LCM) of 7056 and 7063 is 7119504.

LCM(7056,7063) = 7119504

LCM of 7056 and 7063

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

LCM of:
and

Least Common Multiple of 7056 and 7063

LCM of 7056 and 7063 is 7119504

Least common multiple can be found by multiplying the highest exponent prime factors of 7056 and 7063. First we will calculate the prime factors of 7056 and 7063.

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 7063


7 7063
1009 1009
1

Prime factors of 7063 are 7,1009. Prime factorization of 7063 in exponential form is:

7063 = 71×10091

Now multiplying the highest exponent prime factors to calculate the LCM of 7056 and 7063.

LCM(7056,7063) = 24×32×72×10091
LCM(7056,7063) = 7119504

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 7063

List of positive integer factors of 7063 that divides 7063 without a remainder.

1, 7, 1009, 7063

Least Common Multiple of 7056 and 7063 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 7063, than apply into the LCM equation.

GCF(7056,7063) = 7
LCM(7056,7063) = ( 7056 × 7063) / 7
LCM(7056,7063) = 49836528 / 7
LCM(7056,7063) = 7119504

Properties of LCM 7056 and 7063

(i) The LCM of 7063 and 7056 is associative

LCM of 7056 and 7063 = LCM of 7063 and 7056

Related Least Common Multiples of 7056

Related Least Common Multiples of 7063

Frequently Asked Questions on LCM of 7056 and 7063

1. What is the LCM of 7056 and 7063?

Answer: LCM of 7056 and 7063 is 7119504.

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 7063?

Answer: Factors of 7063 are 1, 7, 1009, 7063. There are 4 integers that are factors of 7063. The greatest factor of 7063 is 7063.

4. How to Find the LCM of 7056 and 7063?

Answer:

Least Common Multiple of 7056 and 7063 = 7119504

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 7063

7063 = 7 x 1009

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

LCM = 7119504 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 1009

Step 4: Therefore, the least common multiple of 7056 and 7063 is 7119504.