Least Common Multiple of 7354 and 7362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7354 and 7362 the smallest integer that is 27070074 that is divisible by both numbers.

Least Common Multiple (LCM) of 7354 and 7362 is 27070074.

LCM(7354,7362) = 27070074

LCM of 7354 and 7362

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

LCM of:
and

Least Common Multiple of 7354 and 7362

LCM of 7354 and 7362 is 27070074

Least common multiple can be found by multiplying the highest exponent prime factors of 7354 and 7362. First we will calculate the prime factors of 7354 and 7362.

Prime Factorization of 7354


2 7354
3677 3677
1

Prime factors of 7354 are 2,3677. Prime factorization of 7354 in exponential form is:

7354 = 21×36771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7354 and 7362.

LCM(7354,7362) = 21×32×4091×36771
LCM(7354,7362) = 27070074

Factors of 7354

List of positive integer factors of 7354 that divides 7354 without a remainder.

1, 2, 3677, 7354

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

Least Common Multiple of 7354 and 7362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7354 and 7362, than apply into the LCM equation.

GCF(7354,7362) = 2
LCM(7354,7362) = ( 7354 × 7362) / 2
LCM(7354,7362) = 54140148 / 2
LCM(7354,7362) = 27070074

Properties of LCM 7354 and 7362

(i) The LCM of 7362 and 7354 is associative

LCM of 7354 and 7362 = LCM of 7362 and 7354

Related Least Common Multiples of 7354

Related Least Common Multiples of 7362

Frequently Asked Questions on LCM of 7354 and 7362

1. What is the LCM of 7354 and 7362?

Answer: LCM of 7354 and 7362 is 27070074.

2. What are the Factors of 7354?

Answer: Factors of 7354 are 1, 2, 3677, 7354. There are 4 integers that are factors of 7354. The greatest factor of 7354 is 7354.

3. 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.

4. How to Find the LCM of 7354 and 7362?

Answer:

Least Common Multiple of 7354 and 7362 = 27070074

Step 1: Find the prime factorization of 7354

7354 = 2 x 3677

Step 2: Find the prime factorization of 7362

7362 = 2 x 3 x 3 x 409

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

LCM = 27070074 = 2 x 3 x 3 x 409 x 3677

Step 4: Therefore, the least common multiple of 7354 and 7362 is 27070074.