Least Common Multiple of 7598 and 7602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7598 and 7602 the smallest integer that is 28879998 that is divisible by both numbers.

Least Common Multiple (LCM) of 7598 and 7602 is 28879998.

LCM(7598,7602) = 28879998

LCM of 7598 and 7602

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

LCM of:
and

Least Common Multiple of 7598 and 7602

LCM of 7598 and 7602 is 28879998

Least common multiple can be found by multiplying the highest exponent prime factors of 7598 and 7602. First we will calculate the prime factors of 7598 and 7602.

Prime Factorization of 7598


2 7598
29 3799
131 131
1

Prime factors of 7598 are 2, 29,131. Prime factorization of 7598 in exponential form is:

7598 = 21×291×1311

Prime Factorization of 7602


2 7602
3 3801
7 1267
181 181
1

Prime factors of 7602 are 2, 3, 7,181. Prime factorization of 7602 in exponential form is:

7602 = 21×31×71×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 7598 and 7602.

LCM(7598,7602) = 21×31×71×291×1311×1811
LCM(7598,7602) = 28879998

Factors of 7598

List of positive integer factors of 7598 that divides 7598 without a remainder.

1, 2, 29, 58, 131, 262, 3799, 7598

Factors of 7602

List of positive integer factors of 7602 that divides 7602 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 181, 362, 543, 1086, 1267, 2534, 3801, 7602

Least Common Multiple of 7598 and 7602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7598 and 7602, than apply into the LCM equation.

GCF(7598,7602) = 2
LCM(7598,7602) = ( 7598 × 7602) / 2
LCM(7598,7602) = 57759996 / 2
LCM(7598,7602) = 28879998

Properties of LCM 7598 and 7602

(i) The LCM of 7602 and 7598 is associative

LCM of 7598 and 7602 = LCM of 7602 and 7598

Related Least Common Multiples of 7598

Related Least Common Multiples of 7602

Frequently Asked Questions on LCM of 7598 and 7602

1. What is the LCM of 7598 and 7602?

Answer: LCM of 7598 and 7602 is 28879998.

2. What are the Factors of 7598?

Answer: Factors of 7598 are 1, 2, 29, 58, 131, 262, 3799, 7598. There are 8 integers that are factors of 7598. The greatest factor of 7598 is 7598.

3. What are the Factors of 7602?

Answer: Factors of 7602 are 1, 2, 3, 6, 7, 14, 21, 42, 181, 362, 543, 1086, 1267, 2534, 3801, 7602. There are 16 integers that are factors of 7602. The greatest factor of 7602 is 7602.

4. How to Find the LCM of 7598 and 7602?

Answer:

Least Common Multiple of 7598 and 7602 = 28879998

Step 1: Find the prime factorization of 7598

7598 = 2 x 29 x 131

Step 2: Find the prime factorization of 7602

7602 = 2 x 3 x 7 x 181

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

LCM = 28879998 = 2 x 3 x 7 x 29 x 131 x 181

Step 4: Therefore, the least common multiple of 7598 and 7602 is 28879998.