Least Common Multiple of 7112 and 7119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7112 and 7119 the smallest integer that is 7232904 that is divisible by both numbers.

Least Common Multiple (LCM) of 7112 and 7119 is 7232904.

LCM(7112,7119) = 7232904

LCM of 7112 and 7119

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

LCM of:
and

Least Common Multiple of 7112 and 7119

LCM of 7112 and 7119 is 7232904

Least common multiple can be found by multiplying the highest exponent prime factors of 7112 and 7119. First we will calculate the prime factors of 7112 and 7119.

Prime Factorization of 7112


2 7112
2 3556
2 1778
7 889
127 127
1

Prime factors of 7112 are 2, 7,127. Prime factorization of 7112 in exponential form is:

7112 = 23×71×1271

Prime Factorization of 7119


3 7119
3 2373
7 791
113 113
1

Prime factors of 7119 are 3, 7,113. Prime factorization of 7119 in exponential form is:

7119 = 32×71×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 7112 and 7119.

LCM(7112,7119) = 23×32×71×1131×1271
LCM(7112,7119) = 7232904

Factors of 7112

List of positive integer factors of 7112 that divides 7112 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 127, 254, 508, 889, 1016, 1778, 3556, 7112

Factors of 7119

List of positive integer factors of 7119 that divides 7119 without a remainder.

1, 3, 7, 9, 21, 63, 113, 339, 791, 1017, 2373, 7119

Least Common Multiple of 7112 and 7119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7112 and 7119, than apply into the LCM equation.

GCF(7112,7119) = 7
LCM(7112,7119) = ( 7112 × 7119) / 7
LCM(7112,7119) = 50630328 / 7
LCM(7112,7119) = 7232904

Properties of LCM 7112 and 7119

(i) The LCM of 7119 and 7112 is associative

LCM of 7112 and 7119 = LCM of 7119 and 7112

Related Least Common Multiples of 7112

Related Least Common Multiples of 7119

Frequently Asked Questions on LCM of 7112 and 7119

1. What is the LCM of 7112 and 7119?

Answer: LCM of 7112 and 7119 is 7232904.

2. What are the Factors of 7112?

Answer: Factors of 7112 are 1, 2, 4, 7, 8, 14, 28, 56, 127, 254, 508, 889, 1016, 1778, 3556, 7112. There are 16 integers that are factors of 7112. The greatest factor of 7112 is 7112.

3. What are the Factors of 7119?

Answer: Factors of 7119 are 1, 3, 7, 9, 21, 63, 113, 339, 791, 1017, 2373, 7119. There are 12 integers that are factors of 7119. The greatest factor of 7119 is 7119.

4. How to Find the LCM of 7112 and 7119?

Answer:

Least Common Multiple of 7112 and 7119 = 7232904

Step 1: Find the prime factorization of 7112

7112 = 2 x 2 x 2 x 7 x 127

Step 2: Find the prime factorization of 7119

7119 = 3 x 3 x 7 x 113

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

LCM = 7232904 = 2 x 2 x 2 x 3 x 3 x 7 x 113 x 127

Step 4: Therefore, the least common multiple of 7112 and 7119 is 7232904.