Least Common Multiple of 7362 and 7370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7362 and 7370 the smallest integer that is 27128970 that is divisible by both numbers.

Least Common Multiple (LCM) of 7362 and 7370 is 27128970.

LCM(7362,7370) = 27128970

LCM of 7362 and 7370

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

LCM of:
and

Least Common Multiple of 7362 and 7370

LCM of 7362 and 7370 is 27128970

Least common multiple can be found by multiplying the highest exponent prime factors of 7362 and 7370. First we will calculate the prime factors of 7362 and 7370.

Prime Factorization of 7362


2 7362
3 3681
3 1227
409 409
1

Prime factors of 7362 are 2, 3,409. Prime factorization of 7362 in exponential form is:

7362 = 21×32×4091

Prime Factorization of 7370


2 7370
5 3685
11 737
67 67
1

Prime factors of 7370 are 2, 5, 11,67. Prime factorization of 7370 in exponential form is:

7370 = 21×51×111×671

Now multiplying the highest exponent prime factors to calculate the LCM of 7362 and 7370.

LCM(7362,7370) = 21×32×51×111×671×4091
LCM(7362,7370) = 27128970

Factors of 7362

List of positive integer factors of 7362 that divides 7362 without a remainder.

1, 2, 3, 6, 9, 18, 409, 818, 1227, 2454, 3681, 7362

Factors of 7370

List of positive integer factors of 7370 that divides 7370 without a remainder.

1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370

Least Common Multiple of 7362 and 7370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7362 and 7370, than apply into the LCM equation.

GCF(7362,7370) = 2
LCM(7362,7370) = ( 7362 × 7370) / 2
LCM(7362,7370) = 54257940 / 2
LCM(7362,7370) = 27128970

Properties of LCM 7362 and 7370

(i) The LCM of 7370 and 7362 is associative

LCM of 7362 and 7370 = LCM of 7370 and 7362

Related Least Common Multiples of 7362

Related Least Common Multiples of 7370

Frequently Asked Questions on LCM of 7362 and 7370

1. What is the LCM of 7362 and 7370?

Answer: LCM of 7362 and 7370 is 27128970.

2. What are the Factors of 7362?

Answer: Factors of 7362 are 1, 2, 3, 6, 9, 18, 409, 818, 1227, 2454, 3681, 7362. There are 12 integers that are factors of 7362. The greatest factor of 7362 is 7362.

3. What are the Factors of 7370?

Answer: Factors of 7370 are 1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370. There are 16 integers that are factors of 7370. The greatest factor of 7370 is 7370.

4. How to Find the LCM of 7362 and 7370?

Answer:

Least Common Multiple of 7362 and 7370 = 27128970

Step 1: Find the prime factorization of 7362

7362 = 2 x 3 x 3 x 409

Step 2: Find the prime factorization of 7370

7370 = 2 x 5 x 11 x 67

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

LCM = 27128970 = 2 x 3 x 3 x 5 x 11 x 67 x 409

Step 4: Therefore, the least common multiple of 7362 and 7370 is 27128970.