Least Common Multiple of 7057 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 7057 and 7063 the smallest integer that is 49843591 that is divisible by both numbers.

Least Common Multiple (LCM) of 7057 and 7063 is 49843591.

LCM(7057,7063) = 49843591

LCM of 7057 and 7063

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

LCM of:
and

Least Common Multiple of 7057 and 7063

LCM of 7057 and 7063 is 49843591

Least common multiple can be found by multiplying the highest exponent prime factors of 7057 and 7063. First we will calculate the prime factors of 7057 and 7063.

Prime Factorization of 7057


7057 7057
1

Prime factors of 7057 are 7057. Prime factorization of 7057 in exponential form is:

7057 = 70571

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 7057 and 7063.

LCM(7057,7063) = 71×10091×70571
LCM(7057,7063) = 49843591

Factors of 7057

List of positive integer factors of 7057 that divides 7057 without a remainder.

1, 7057

Factors of 7063

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

1, 7, 1009, 7063

Least Common Multiple of 7057 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 7057 and 7063, than apply into the LCM equation.

GCF(7057,7063) = 1
LCM(7057,7063) = ( 7057 × 7063) / 1
LCM(7057,7063) = 49843591 / 1
LCM(7057,7063) = 49843591

Properties of LCM 7057 and 7063

(i) The LCM of 7063 and 7057 is associative

LCM of 7057 and 7063 = LCM of 7063 and 7057

Related Least Common Multiples of 7057

Related Least Common Multiples of 7063

Frequently Asked Questions on LCM of 7057 and 7063

1. What is the LCM of 7057 and 7063?

Answer: LCM of 7057 and 7063 is 49843591.

2. What are the Factors of 7057?

Answer: Factors of 7057 are 1, 7057. There are 2 integers that are factors of 7057. The greatest factor of 7057 is 7057.

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 7057 and 7063?

Answer:

Least Common Multiple of 7057 and 7063 = 49843591

Step 1: Find the prime factorization of 7057

7057 = 7057

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 = 49843591 = 7 x 1009 x 7057

Step 4: Therefore, the least common multiple of 7057 and 7063 is 49843591.