Least Common Multiple of 7121 and 7126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7121 and 7126 the smallest integer that is 50744246 that is divisible by both numbers.

Least Common Multiple (LCM) of 7121 and 7126 is 50744246.

LCM(7121,7126) = 50744246

LCM of 7121 and 7126

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

LCM of:
and

Least Common Multiple of 7121 and 7126

LCM of 7121 and 7126 is 50744246

Least common multiple can be found by multiplying the highest exponent prime factors of 7121 and 7126. First we will calculate the prime factors of 7121 and 7126.

Prime Factorization of 7121


7121 7121
1

Prime factors of 7121 are 7121. Prime factorization of 7121 in exponential form is:

7121 = 71211

Prime Factorization of 7126


2 7126
7 3563
509 509
1

Prime factors of 7126 are 2, 7,509. Prime factorization of 7126 in exponential form is:

7126 = 21×71×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 7121 and 7126.

LCM(7121,7126) = 21×71×5091×71211
LCM(7121,7126) = 50744246

Factors of 7121

List of positive integer factors of 7121 that divides 7121 without a remainder.

1, 7121

Factors of 7126

List of positive integer factors of 7126 that divides 7126 without a remainder.

1, 2, 7, 14, 509, 1018, 3563, 7126

Least Common Multiple of 7121 and 7126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7121 and 7126, than apply into the LCM equation.

GCF(7121,7126) = 1
LCM(7121,7126) = ( 7121 × 7126) / 1
LCM(7121,7126) = 50744246 / 1
LCM(7121,7126) = 50744246

Properties of LCM 7121 and 7126

(i) The LCM of 7126 and 7121 is associative

LCM of 7121 and 7126 = LCM of 7126 and 7121

Related Least Common Multiples of 7121

Related Least Common Multiples of 7126

Frequently Asked Questions on LCM of 7121 and 7126

1. What is the LCM of 7121 and 7126?

Answer: LCM of 7121 and 7126 is 50744246.

2. What are the Factors of 7121?

Answer: Factors of 7121 are 1, 7121. There are 2 integers that are factors of 7121. The greatest factor of 7121 is 7121.

3. What are the Factors of 7126?

Answer: Factors of 7126 are 1, 2, 7, 14, 509, 1018, 3563, 7126. There are 8 integers that are factors of 7126. The greatest factor of 7126 is 7126.

4. How to Find the LCM of 7121 and 7126?

Answer:

Least Common Multiple of 7121 and 7126 = 50744246

Step 1: Find the prime factorization of 7121

7121 = 7121

Step 2: Find the prime factorization of 7126

7126 = 2 x 7 x 509

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

LCM = 50744246 = 2 x 7 x 509 x 7121

Step 4: Therefore, the least common multiple of 7121 and 7126 is 50744246.