Least Common Multiple of 1662 and 1670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1662 and 1670 the smallest integer that is 1387770 that is divisible by both numbers.

Least Common Multiple (LCM) of 1662 and 1670 is 1387770.

LCM(1662,1670) = 1387770

LCM of 1662 and 1670

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

LCM of:
and

Least Common Multiple of 1662 and 1670

LCM of 1662 and 1670 is 1387770

Least common multiple can be found by multiplying the highest exponent prime factors of 1662 and 1670. First we will calculate the prime factors of 1662 and 1670.

Prime Factorization of 1662


2 1662
3 831
277 277
1

Prime factors of 1662 are 2, 3,277. Prime factorization of 1662 in exponential form is:

1662 = 21×31×2771

Prime Factorization of 1670


2 1670
5 835
167 167
1

Prime factors of 1670 are 2, 5,167. Prime factorization of 1670 in exponential form is:

1670 = 21×51×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 1662 and 1670.

LCM(1662,1670) = 21×31×51×1671×2771
LCM(1662,1670) = 1387770

Factors of 1662

List of positive integer factors of 1662 that divides 1662 without a remainder.

1, 2, 3, 6, 277, 554, 831, 1662

Factors of 1670

List of positive integer factors of 1670 that divides 1670 without a remainder.

1, 2, 5, 10, 167, 334, 835, 1670

Least Common Multiple of 1662 and 1670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1662 and 1670, than apply into the LCM equation.

GCF(1662,1670) = 2
LCM(1662,1670) = ( 1662 × 1670) / 2
LCM(1662,1670) = 2775540 / 2
LCM(1662,1670) = 1387770

Properties of LCM 1662 and 1670

(i) The LCM of 1670 and 1662 is associative

LCM of 1662 and 1670 = LCM of 1670 and 1662

Related Least Common Multiples of 1662

Related Least Common Multiples of 1670

Frequently Asked Questions on LCM of 1662 and 1670

1. What is the LCM of 1662 and 1670?

Answer: LCM of 1662 and 1670 is 1387770.

2. What are the Factors of 1662?

Answer: Factors of 1662 are 1, 2, 3, 6, 277, 554, 831, 1662. There are 8 integers that are factors of 1662. The greatest factor of 1662 is 1662.

3. What are the Factors of 1670?

Answer: Factors of 1670 are 1, 2, 5, 10, 167, 334, 835, 1670. There are 8 integers that are factors of 1670. The greatest factor of 1670 is 1670.

4. How to Find the LCM of 1662 and 1670?

Answer:

Least Common Multiple of 1662 and 1670 = 1387770

Step 1: Find the prime factorization of 1662

1662 = 2 x 3 x 277

Step 2: Find the prime factorization of 1670

1670 = 2 x 5 x 167

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

LCM = 1387770 = 2 x 3 x 5 x 167 x 277

Step 4: Therefore, the least common multiple of 1662 and 1670 is 1387770.