Least Common Multiple of 7122 and 7124

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 7124 the smallest integer that is 25368564 that is divisible by both numbers.

Least Common Multiple (LCM) of 7122 and 7124 is 25368564.

LCM(7122,7124) = 25368564

LCM of 7122 and 7124

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

LCM of:
and

Least Common Multiple of 7122 and 7124

LCM of 7122 and 7124 is 25368564

Least common multiple can be found by multiplying the highest exponent prime factors of 7122 and 7124. First we will calculate the prime factors of 7122 and 7124.

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 7124


2 7124
2 3562
13 1781
137 137
1

Prime factors of 7124 are 2, 13,137. Prime factorization of 7124 in exponential form is:

7124 = 22×131×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 7122 and 7124.

LCM(7122,7124) = 22×31×131×1371×11871
LCM(7122,7124) = 25368564

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 7124

List of positive integer factors of 7124 that divides 7124 without a remainder.

1, 2, 4, 13, 26, 52, 137, 274, 548, 1781, 3562, 7124

Least Common Multiple of 7122 and 7124 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 7124, than apply into the LCM equation.

GCF(7122,7124) = 2
LCM(7122,7124) = ( 7122 × 7124) / 2
LCM(7122,7124) = 50737128 / 2
LCM(7122,7124) = 25368564

Properties of LCM 7122 and 7124

(i) The LCM of 7124 and 7122 is associative

LCM of 7122 and 7124 = LCM of 7124 and 7122

Related Least Common Multiples of 7122

Related Least Common Multiples of 7124

Frequently Asked Questions on LCM of 7122 and 7124

1. What is the LCM of 7122 and 7124?

Answer: LCM of 7122 and 7124 is 25368564.

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 7124?

Answer: Factors of 7124 are 1, 2, 4, 13, 26, 52, 137, 274, 548, 1781, 3562, 7124. There are 12 integers that are factors of 7124. The greatest factor of 7124 is 7124.

4. How to Find the LCM of 7122 and 7124?

Answer:

Least Common Multiple of 7122 and 7124 = 25368564

Step 1: Find the prime factorization of 7122

7122 = 2 x 3 x 1187

Step 2: Find the prime factorization of 7124

7124 = 2 x 2 x 13 x 137

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

LCM = 25368564 = 2 x 2 x 3 x 13 x 137 x 1187

Step 4: Therefore, the least common multiple of 7122 and 7124 is 25368564.