Least Common Multiple of 1368 and 1370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1368 and 1370 the smallest integer that is 937080 that is divisible by both numbers.

Least Common Multiple (LCM) of 1368 and 1370 is 937080.

LCM(1368,1370) = 937080

LCM of 1368 and 1370

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

LCM of:
and

Least Common Multiple of 1368 and 1370

LCM of 1368 and 1370 is 937080

Least common multiple can be found by multiplying the highest exponent prime factors of 1368 and 1370. First we will calculate the prime factors of 1368 and 1370.

Prime Factorization of 1368


2 1368
2 684
2 342
3 171
3 57
19 19
1

Prime factors of 1368 are 2, 3,19. Prime factorization of 1368 in exponential form is:

1368 = 23×32×191

Prime Factorization of 1370


2 1370
5 685
137 137
1

Prime factors of 1370 are 2, 5,137. Prime factorization of 1370 in exponential form is:

1370 = 21×51×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 1368 and 1370.

LCM(1368,1370) = 23×32×51×191×1371
LCM(1368,1370) = 937080

Factors of 1368

List of positive integer factors of 1368 that divides 1368 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684, 1368

Factors of 1370

List of positive integer factors of 1370 that divides 1370 without a remainder.

1, 2, 5, 10, 137, 274, 685, 1370

Least Common Multiple of 1368 and 1370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1368 and 1370, than apply into the LCM equation.

GCF(1368,1370) = 2
LCM(1368,1370) = ( 1368 × 1370) / 2
LCM(1368,1370) = 1874160 / 2
LCM(1368,1370) = 937080

Properties of LCM 1368 and 1370

(i) The LCM of 1370 and 1368 is associative

LCM of 1368 and 1370 = LCM of 1370 and 1368

Related Least Common Multiples of 1368

Related Least Common Multiples of 1370

Frequently Asked Questions on LCM of 1368 and 1370

1. What is the LCM of 1368 and 1370?

Answer: LCM of 1368 and 1370 is 937080.

2. What are the Factors of 1368?

Answer: Factors of 1368 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684, 1368. There are 24 integers that are factors of 1368. The greatest factor of 1368 is 1368.

3. What are the Factors of 1370?

Answer: Factors of 1370 are 1, 2, 5, 10, 137, 274, 685, 1370. There are 8 integers that are factors of 1370. The greatest factor of 1370 is 1370.

4. How to Find the LCM of 1368 and 1370?

Answer:

Least Common Multiple of 1368 and 1370 = 937080

Step 1: Find the prime factorization of 1368

1368 = 2 x 2 x 2 x 3 x 3 x 19

Step 2: Find the prime factorization of 1370

1370 = 2 x 5 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 = 937080 = 2 x 2 x 2 x 3 x 3 x 5 x 19 x 137

Step 4: Therefore, the least common multiple of 1368 and 1370 is 937080.