Least Common Multiple of 3119 and 3123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3119 and 3123 the smallest integer that is 9740637 that is divisible by both numbers.

Least Common Multiple (LCM) of 3119 and 3123 is 9740637.

LCM(3119,3123) = 9740637

LCM of 3119 and 3123

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

LCM of:
and

Least Common Multiple of 3119 and 3123

LCM of 3119 and 3123 is 9740637

Least common multiple can be found by multiplying the highest exponent prime factors of 3119 and 3123. First we will calculate the prime factors of 3119 and 3123.

Prime Factorization of 3119


3119 3119
1

Prime factors of 3119 are 3119. Prime factorization of 3119 in exponential form is:

3119 = 31191

Prime Factorization of 3123


3 3123
3 1041
347 347
1

Prime factors of 3123 are 3,347. Prime factorization of 3123 in exponential form is:

3123 = 32×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 3119 and 3123.

LCM(3119,3123) = 32×3471×31191
LCM(3119,3123) = 9740637

Factors of 3119

List of positive integer factors of 3119 that divides 3119 without a remainder.

1, 3119

Factors of 3123

List of positive integer factors of 3123 that divides 3123 without a remainder.

1, 3, 9, 347, 1041, 3123

Least Common Multiple of 3119 and 3123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3119 and 3123, than apply into the LCM equation.

GCF(3119,3123) = 1
LCM(3119,3123) = ( 3119 × 3123) / 1
LCM(3119,3123) = 9740637 / 1
LCM(3119,3123) = 9740637

Properties of LCM 3119 and 3123

(i) The LCM of 3123 and 3119 is associative

LCM of 3119 and 3123 = LCM of 3123 and 3119

Related Least Common Multiples of 3119

Related Least Common Multiples of 3123

Frequently Asked Questions on LCM of 3119 and 3123

1. What is the LCM of 3119 and 3123?

Answer: LCM of 3119 and 3123 is 9740637.

2. What are the Factors of 3119?

Answer: Factors of 3119 are 1, 3119. There are 2 integers that are factors of 3119. The greatest factor of 3119 is 3119.

3. What are the Factors of 3123?

Answer: Factors of 3123 are 1, 3, 9, 347, 1041, 3123. There are 6 integers that are factors of 3123. The greatest factor of 3123 is 3123.

4. How to Find the LCM of 3119 and 3123?

Answer:

Least Common Multiple of 3119 and 3123 = 9740637

Step 1: Find the prime factorization of 3119

3119 = 3119

Step 2: Find the prime factorization of 3123

3123 = 3 x 3 x 347

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

LCM = 9740637 = 3 x 3 x 347 x 3119

Step 4: Therefore, the least common multiple of 3119 and 3123 is 9740637.