Least Common Multiple of 7662 and 7670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7662 and 7670 the smallest integer that is 29383770 that is divisible by both numbers.

Least Common Multiple (LCM) of 7662 and 7670 is 29383770.

LCM(7662,7670) = 29383770

LCM of 7662 and 7670

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

LCM of:
and

Least Common Multiple of 7662 and 7670

LCM of 7662 and 7670 is 29383770

Least common multiple can be found by multiplying the highest exponent prime factors of 7662 and 7670. First we will calculate the prime factors of 7662 and 7670.

Prime Factorization of 7662


2 7662
3 3831
1277 1277
1

Prime factors of 7662 are 2, 3,1277. Prime factorization of 7662 in exponential form is:

7662 = 21×31×12771

Prime Factorization of 7670


2 7670
5 3835
13 767
59 59
1

Prime factors of 7670 are 2, 5, 13,59. Prime factorization of 7670 in exponential form is:

7670 = 21×51×131×591

Now multiplying the highest exponent prime factors to calculate the LCM of 7662 and 7670.

LCM(7662,7670) = 21×31×51×131×591×12771
LCM(7662,7670) = 29383770

Factors of 7662

List of positive integer factors of 7662 that divides 7662 without a remainder.

1, 2, 3, 6, 1277, 2554, 3831, 7662

Factors of 7670

List of positive integer factors of 7670 that divides 7670 without a remainder.

1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670

Least Common Multiple of 7662 and 7670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7662 and 7670, than apply into the LCM equation.

GCF(7662,7670) = 2
LCM(7662,7670) = ( 7662 × 7670) / 2
LCM(7662,7670) = 58767540 / 2
LCM(7662,7670) = 29383770

Properties of LCM 7662 and 7670

(i) The LCM of 7670 and 7662 is associative

LCM of 7662 and 7670 = LCM of 7670 and 7662

Related Least Common Multiples of 7662

Related Least Common Multiples of 7670

Frequently Asked Questions on LCM of 7662 and 7670

1. What is the LCM of 7662 and 7670?

Answer: LCM of 7662 and 7670 is 29383770.

2. What are the Factors of 7662?

Answer: Factors of 7662 are 1, 2, 3, 6, 1277, 2554, 3831, 7662. There are 8 integers that are factors of 7662. The greatest factor of 7662 is 7662.

3. What are the Factors of 7670?

Answer: Factors of 7670 are 1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670. There are 16 integers that are factors of 7670. The greatest factor of 7670 is 7670.

4. How to Find the LCM of 7662 and 7670?

Answer:

Least Common Multiple of 7662 and 7670 = 29383770

Step 1: Find the prime factorization of 7662

7662 = 2 x 3 x 1277

Step 2: Find the prime factorization of 7670

7670 = 2 x 5 x 13 x 59

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

LCM = 29383770 = 2 x 3 x 5 x 13 x 59 x 1277

Step 4: Therefore, the least common multiple of 7662 and 7670 is 29383770.