Least Common Multiple of 7122 and 7123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7122 and 7123 the smallest integer that is 50730006 that is divisible by both numbers.

Least Common Multiple (LCM) of 7122 and 7123 is 50730006.

LCM(7122,7123) = 50730006

LCM of 7122 and 7123

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

LCM of:
and

Least Common Multiple of 7122 and 7123

LCM of 7122 and 7123 is 50730006

Least common multiple can be found by multiplying the highest exponent prime factors of 7122 and 7123. First we will calculate the prime factors of 7122 and 7123.

Prime Factorization of 7122


2 7122
3 3561
1187 1187
1

Prime factors of 7122 are 2, 3,1187. Prime factorization of 7122 in exponential form is:

7122 = 21×31×11871

Prime Factorization of 7123


17 7123
419 419
1

Prime factors of 7123 are 17,419. Prime factorization of 7123 in exponential form is:

7123 = 171×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 7122 and 7123.

LCM(7122,7123) = 21×31×171×4191×11871
LCM(7122,7123) = 50730006

Factors of 7122

List of positive integer factors of 7122 that divides 7122 without a remainder.

1, 2, 3, 6, 1187, 2374, 3561, 7122

Factors of 7123

List of positive integer factors of 7123 that divides 7123 without a remainder.

1, 17, 419, 7123

Least Common Multiple of 7122 and 7123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7122 and 7123, than apply into the LCM equation.

GCF(7122,7123) = 1
LCM(7122,7123) = ( 7122 × 7123) / 1
LCM(7122,7123) = 50730006 / 1
LCM(7122,7123) = 50730006

Properties of LCM 7122 and 7123

(i) The LCM of 7123 and 7122 is associative

LCM of 7122 and 7123 = LCM of 7123 and 7122

Related Least Common Multiples of 7122

Related Least Common Multiples of 7123

Frequently Asked Questions on LCM of 7122 and 7123

1. What is the LCM of 7122 and 7123?

Answer: LCM of 7122 and 7123 is 50730006.

2. What are the Factors of 7122?

Answer: Factors of 7122 are 1, 2, 3, 6, 1187, 2374, 3561, 7122. There are 8 integers that are factors of 7122. The greatest factor of 7122 is 7122.

3. What are the Factors of 7123?

Answer: Factors of 7123 are 1, 17, 419, 7123. There are 4 integers that are factors of 7123. The greatest factor of 7123 is 7123.

4. How to Find the LCM of 7122 and 7123?

Answer:

Least Common Multiple of 7122 and 7123 = 50730006

Step 1: Find the prime factorization of 7122

7122 = 2 x 3 x 1187

Step 2: Find the prime factorization of 7123

7123 = 17 x 419

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

LCM = 50730006 = 2 x 3 x 17 x 419 x 1187

Step 4: Therefore, the least common multiple of 7122 and 7123 is 50730006.