Least Common Multiple of 7117 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 7117 and 7124 the smallest integer that is 50701508 that is divisible by both numbers.

Least Common Multiple (LCM) of 7117 and 7124 is 50701508.

LCM(7117,7124) = 50701508

LCM of 7117 and 7124

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

LCM of:
and

Least Common Multiple of 7117 and 7124

LCM of 7117 and 7124 is 50701508

Least common multiple can be found by multiplying the highest exponent prime factors of 7117 and 7124. First we will calculate the prime factors of 7117 and 7124.

Prime Factorization of 7117


11 7117
647 647
1

Prime factors of 7117 are 11,647. Prime factorization of 7117 in exponential form is:

7117 = 111×6471

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 7117 and 7124.

LCM(7117,7124) = 22×111×131×1371×6471
LCM(7117,7124) = 50701508

Factors of 7117

List of positive integer factors of 7117 that divides 7117 without a remainder.

1, 11, 647, 7117

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 7117 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 7117 and 7124, than apply into the LCM equation.

GCF(7117,7124) = 1
LCM(7117,7124) = ( 7117 × 7124) / 1
LCM(7117,7124) = 50701508 / 1
LCM(7117,7124) = 50701508

Properties of LCM 7117 and 7124

(i) The LCM of 7124 and 7117 is associative

LCM of 7117 and 7124 = LCM of 7124 and 7117

Related Least Common Multiples of 7117

Related Least Common Multiples of 7124

Frequently Asked Questions on LCM of 7117 and 7124

1. What is the LCM of 7117 and 7124?

Answer: LCM of 7117 and 7124 is 50701508.

2. What are the Factors of 7117?

Answer: Factors of 7117 are 1, 11, 647, 7117. There are 4 integers that are factors of 7117. The greatest factor of 7117 is 7117.

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 7117 and 7124?

Answer:

Least Common Multiple of 7117 and 7124 = 50701508

Step 1: Find the prime factorization of 7117

7117 = 11 x 647

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 = 50701508 = 2 x 2 x 11 x 13 x 137 x 647

Step 4: Therefore, the least common multiple of 7117 and 7124 is 50701508.