Least Common Multiple of 5370 and 5374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5370 and 5374 the smallest integer that is 14429190 that is divisible by both numbers.

Least Common Multiple (LCM) of 5370 and 5374 is 14429190.

LCM(5370,5374) = 14429190

LCM of 5370 and 5374

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

LCM of:
and

Least Common Multiple of 5370 and 5374

LCM of 5370 and 5374 is 14429190

Least common multiple can be found by multiplying the highest exponent prime factors of 5370 and 5374. First we will calculate the prime factors of 5370 and 5374.

Prime Factorization of 5370


2 5370
3 2685
5 895
179 179
1

Prime factors of 5370 are 2, 3, 5,179. Prime factorization of 5370 in exponential form is:

5370 = 21×31×51×1791

Prime Factorization of 5374


2 5374
2687 2687
1

Prime factors of 5374 are 2,2687. Prime factorization of 5374 in exponential form is:

5374 = 21×26871

Now multiplying the highest exponent prime factors to calculate the LCM of 5370 and 5374.

LCM(5370,5374) = 21×31×51×1791×26871
LCM(5370,5374) = 14429190

Factors of 5370

List of positive integer factors of 5370 that divides 5370 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685, 5370

Factors of 5374

List of positive integer factors of 5374 that divides 5374 without a remainder.

1, 2, 2687, 5374

Least Common Multiple of 5370 and 5374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5370 and 5374, than apply into the LCM equation.

GCF(5370,5374) = 2
LCM(5370,5374) = ( 5370 × 5374) / 2
LCM(5370,5374) = 28858380 / 2
LCM(5370,5374) = 14429190

Properties of LCM 5370 and 5374

(i) The LCM of 5374 and 5370 is associative

LCM of 5370 and 5374 = LCM of 5374 and 5370

Related Least Common Multiples of 5370

Related Least Common Multiples of 5374

Frequently Asked Questions on LCM of 5370 and 5374

1. What is the LCM of 5370 and 5374?

Answer: LCM of 5370 and 5374 is 14429190.

2. What are the Factors of 5370?

Answer: Factors of 5370 are 1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685, 5370. There are 16 integers that are factors of 5370. The greatest factor of 5370 is 5370.

3. What are the Factors of 5374?

Answer: Factors of 5374 are 1, 2, 2687, 5374. There are 4 integers that are factors of 5374. The greatest factor of 5374 is 5374.

4. How to Find the LCM of 5370 and 5374?

Answer:

Least Common Multiple of 5370 and 5374 = 14429190

Step 1: Find the prime factorization of 5370

5370 = 2 x 3 x 5 x 179

Step 2: Find the prime factorization of 5374

5374 = 2 x 2687

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

LCM = 14429190 = 2 x 3 x 5 x 179 x 2687

Step 4: Therefore, the least common multiple of 5370 and 5374 is 14429190.