Least Common Multiple of 1470 and 1476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1470 and 1476 the smallest integer that is 361620 that is divisible by both numbers.

Least Common Multiple (LCM) of 1470 and 1476 is 361620.

LCM(1470,1476) = 361620

LCM of 1470 and 1476

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

LCM of:
and

Least Common Multiple of 1470 and 1476

LCM of 1470 and 1476 is 361620

Least common multiple can be found by multiplying the highest exponent prime factors of 1470 and 1476. First we will calculate the prime factors of 1470 and 1476.

Prime Factorization of 1470


2 1470
3 735
5 245
7 49
7 7
1

Prime factors of 1470 are 2, 3, 5,7. Prime factorization of 1470 in exponential form is:

1470 = 21×31×51×72

Prime Factorization of 1476


2 1476
2 738
3 369
3 123
41 41
1

Prime factors of 1476 are 2, 3,41. Prime factorization of 1476 in exponential form is:

1476 = 22×32×411

Now multiplying the highest exponent prime factors to calculate the LCM of 1470 and 1476.

LCM(1470,1476) = 22×32×51×72×411
LCM(1470,1476) = 361620

Factors of 1470

List of positive integer factors of 1470 that divides 1470 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, 1470

Factors of 1476

List of positive integer factors of 1476 that divides 1476 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476

Least Common Multiple of 1470 and 1476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1470 and 1476, than apply into the LCM equation.

GCF(1470,1476) = 6
LCM(1470,1476) = ( 1470 × 1476) / 6
LCM(1470,1476) = 2169720 / 6
LCM(1470,1476) = 361620

Properties of LCM 1470 and 1476

(i) The LCM of 1476 and 1470 is associative

LCM of 1470 and 1476 = LCM of 1476 and 1470

Related Least Common Multiples of 1470

Related Least Common Multiples of 1476

Frequently Asked Questions on LCM of 1470 and 1476

1. What is the LCM of 1470 and 1476?

Answer: LCM of 1470 and 1476 is 361620.

2. What are the Factors of 1470?

Answer: Factors of 1470 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, 1470. There are 24 integers that are factors of 1470. The greatest factor of 1470 is 1470.

3. What are the Factors of 1476?

Answer: Factors of 1476 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476. There are 18 integers that are factors of 1476. The greatest factor of 1476 is 1476.

4. How to Find the LCM of 1470 and 1476?

Answer:

Least Common Multiple of 1470 and 1476 = 361620

Step 1: Find the prime factorization of 1470

1470 = 2 x 3 x 5 x 7 x 7

Step 2: Find the prime factorization of 1476

1476 = 2 x 2 x 3 x 3 x 41

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

LCM = 361620 = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 41

Step 4: Therefore, the least common multiple of 1470 and 1476 is 361620.