Least Common Multiple of 7370 and 7376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7370 and 7376 the smallest integer that is 27180560 that is divisible by both numbers.

Least Common Multiple (LCM) of 7370 and 7376 is 27180560.

LCM(7370,7376) = 27180560

LCM of 7370 and 7376

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

LCM of:
and

Least Common Multiple of 7370 and 7376

LCM of 7370 and 7376 is 27180560

Least common multiple can be found by multiplying the highest exponent prime factors of 7370 and 7376. First we will calculate the prime factors of 7370 and 7376.

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

Prime Factorization of 7376


2 7376
2 3688
2 1844
2 922
461 461
1

Prime factors of 7376 are 2,461. Prime factorization of 7376 in exponential form is:

7376 = 24×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 7370 and 7376.

LCM(7370,7376) = 24×51×111×671×4611
LCM(7370,7376) = 27180560

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

Factors of 7376

List of positive integer factors of 7376 that divides 7376 without a remainder.

1, 2, 4, 8, 16, 461, 922, 1844, 3688, 7376

Least Common Multiple of 7370 and 7376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7370 and 7376, than apply into the LCM equation.

GCF(7370,7376) = 2
LCM(7370,7376) = ( 7370 × 7376) / 2
LCM(7370,7376) = 54361120 / 2
LCM(7370,7376) = 27180560

Properties of LCM 7370 and 7376

(i) The LCM of 7376 and 7370 is associative

LCM of 7370 and 7376 = LCM of 7376 and 7370

Related Least Common Multiples of 7370

Related Least Common Multiples of 7376

Frequently Asked Questions on LCM of 7370 and 7376

1. What is the LCM of 7370 and 7376?

Answer: LCM of 7370 and 7376 is 27180560.

2. 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.

3. What are the Factors of 7376?

Answer: Factors of 7376 are 1, 2, 4, 8, 16, 461, 922, 1844, 3688, 7376. There are 10 integers that are factors of 7376. The greatest factor of 7376 is 7376.

4. How to Find the LCM of 7370 and 7376?

Answer:

Least Common Multiple of 7370 and 7376 = 27180560

Step 1: Find the prime factorization of 7370

7370 = 2 x 5 x 11 x 67

Step 2: Find the prime factorization of 7376

7376 = 2 x 2 x 2 x 2 x 461

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

LCM = 27180560 = 2 x 2 x 2 x 2 x 5 x 11 x 67 x 461

Step 4: Therefore, the least common multiple of 7370 and 7376 is 27180560.