Least Common Multiple of 1462 and 1470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1462 and 1470 the smallest integer that is 1074570 that is divisible by both numbers.

Least Common Multiple (LCM) of 1462 and 1470 is 1074570.

LCM(1462,1470) = 1074570

LCM of 1462 and 1470

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

LCM of:
and

Least Common Multiple of 1462 and 1470

LCM of 1462 and 1470 is 1074570

Least common multiple can be found by multiplying the highest exponent prime factors of 1462 and 1470. First we will calculate the prime factors of 1462 and 1470.

Prime Factorization of 1462


2 1462
17 731
43 43
1

Prime factors of 1462 are 2, 17,43. Prime factorization of 1462 in exponential form is:

1462 = 21×171×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1462 and 1470.

LCM(1462,1470) = 21×31×51×72×171×431
LCM(1462,1470) = 1074570

Factors of 1462

List of positive integer factors of 1462 that divides 1462 without a remainder.

1, 2, 17, 34, 43, 86, 731, 1462

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

Least Common Multiple of 1462 and 1470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1462 and 1470, than apply into the LCM equation.

GCF(1462,1470) = 2
LCM(1462,1470) = ( 1462 × 1470) / 2
LCM(1462,1470) = 2149140 / 2
LCM(1462,1470) = 1074570

Properties of LCM 1462 and 1470

(i) The LCM of 1470 and 1462 is associative

LCM of 1462 and 1470 = LCM of 1470 and 1462

Related Least Common Multiples of 1462

Related Least Common Multiples of 1470

Frequently Asked Questions on LCM of 1462 and 1470

1. What is the LCM of 1462 and 1470?

Answer: LCM of 1462 and 1470 is 1074570.

2. What are the Factors of 1462?

Answer: Factors of 1462 are 1, 2, 17, 34, 43, 86, 731, 1462. There are 8 integers that are factors of 1462. The greatest factor of 1462 is 1462.

3. 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.

4. How to Find the LCM of 1462 and 1470?

Answer:

Least Common Multiple of 1462 and 1470 = 1074570

Step 1: Find the prime factorization of 1462

1462 = 2 x 17 x 43

Step 2: Find the prime factorization of 1470

1470 = 2 x 3 x 5 x 7 x 7

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

LCM = 1074570 = 2 x 3 x 5 x 7 x 7 x 17 x 43

Step 4: Therefore, the least common multiple of 1462 and 1470 is 1074570.