Least Common Multiple of 7466 and 7470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7466 and 7470 the smallest integer that is 27885510 that is divisible by both numbers.

Least Common Multiple (LCM) of 7466 and 7470 is 27885510.

LCM(7466,7470) = 27885510

LCM of 7466 and 7470

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

LCM of:
and

Least Common Multiple of 7466 and 7470

LCM of 7466 and 7470 is 27885510

Least common multiple can be found by multiplying the highest exponent prime factors of 7466 and 7470. First we will calculate the prime factors of 7466 and 7470.

Prime Factorization of 7466


2 7466
3733 3733
1

Prime factors of 7466 are 2,3733. Prime factorization of 7466 in exponential form is:

7466 = 21×37331

Prime Factorization of 7470


2 7470
3 3735
3 1245
5 415
83 83
1

Prime factors of 7470 are 2, 3, 5,83. Prime factorization of 7470 in exponential form is:

7470 = 21×32×51×831

Now multiplying the highest exponent prime factors to calculate the LCM of 7466 and 7470.

LCM(7466,7470) = 21×32×51×831×37331
LCM(7466,7470) = 27885510

Factors of 7466

List of positive integer factors of 7466 that divides 7466 without a remainder.

1, 2, 3733, 7466

Factors of 7470

List of positive integer factors of 7470 that divides 7470 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 83, 90, 166, 249, 415, 498, 747, 830, 1245, 1494, 2490, 3735, 7470

Least Common Multiple of 7466 and 7470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7466 and 7470, than apply into the LCM equation.

GCF(7466,7470) = 2
LCM(7466,7470) = ( 7466 × 7470) / 2
LCM(7466,7470) = 55771020 / 2
LCM(7466,7470) = 27885510

Properties of LCM 7466 and 7470

(i) The LCM of 7470 and 7466 is associative

LCM of 7466 and 7470 = LCM of 7470 and 7466

Related Least Common Multiples of 7466

Related Least Common Multiples of 7470

Frequently Asked Questions on LCM of 7466 and 7470

1. What is the LCM of 7466 and 7470?

Answer: LCM of 7466 and 7470 is 27885510.

2. What are the Factors of 7466?

Answer: Factors of 7466 are 1, 2, 3733, 7466. There are 4 integers that are factors of 7466. The greatest factor of 7466 is 7466.

3. What are the Factors of 7470?

Answer: Factors of 7470 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 83, 90, 166, 249, 415, 498, 747, 830, 1245, 1494, 2490, 3735, 7470. There are 24 integers that are factors of 7470. The greatest factor of 7470 is 7470.

4. How to Find the LCM of 7466 and 7470?

Answer:

Least Common Multiple of 7466 and 7470 = 27885510

Step 1: Find the prime factorization of 7466

7466 = 2 x 3733

Step 2: Find the prime factorization of 7470

7470 = 2 x 3 x 3 x 5 x 83

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

LCM = 27885510 = 2 x 3 x 3 x 5 x 83 x 3733

Step 4: Therefore, the least common multiple of 7466 and 7470 is 27885510.