Least Common Multiple of 75692 and 75699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 75692 and 75699 the smallest integer that is 5729808708 that is divisible by both numbers.

Least Common Multiple (LCM) of 75692 and 75699 is 5729808708.

LCM(75692,75699) = 5729808708

LCM of 75692 and 75699

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

LCM of:
and

Least Common Multiple of 75692 and 75699

LCM of 75692 and 75699 is 5729808708

Least common multiple can be found by multiplying the highest exponent prime factors of 75692 and 75699. First we will calculate the prime factors of 75692 and 75699.

Prime Factorization of 75692


2 75692
2 37846
127 18923
149 149
1

Prime factors of 75692 are 2, 127,149. Prime factorization of 75692 in exponential form is:

75692 = 22×1271×1491

Prime Factorization of 75699


3 75699
3 25233
13 8411
647 647
1

Prime factors of 75699 are 3, 13,647. Prime factorization of 75699 in exponential form is:

75699 = 32×131×6471

Now multiplying the highest exponent prime factors to calculate the LCM of 75692 and 75699.

LCM(75692,75699) = 22×32×131×1271×1491×6471
LCM(75692,75699) = 5729808708

Factors of 75692

List of positive integer factors of 75692 that divides 75692 without a remainder.

1, 2, 4, 127, 149, 254, 298, 508, 596, 18923, 37846, 75692

Factors of 75699

List of positive integer factors of 75699 that divides 75699 without a remainder.

1, 3, 9, 13, 39, 117, 647, 1941, 5823, 8411, 25233, 75699

Least Common Multiple of 75692 and 75699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75692 and 75699, than apply into the LCM equation.

GCF(75692,75699) = 1
LCM(75692,75699) = ( 75692 × 75699) / 1
LCM(75692,75699) = 5729808708 / 1
LCM(75692,75699) = 5729808708

Properties of LCM 75692 and 75699

(i) The LCM of 75699 and 75692 is associative

LCM of 75692 and 75699 = LCM of 75699 and 75692

Related Least Common Multiples of 75692

Related Least Common Multiples of 75699

Frequently Asked Questions on LCM of 75692 and 75699

1. What is the LCM of 75692 and 75699?

Answer: LCM of 75692 and 75699 is 5729808708.

2. What are the Factors of 75692?

Answer: Factors of 75692 are 1, 2, 4, 127, 149, 254, 298, 508, 596, 18923, 37846, 75692. There are 12 integers that are factors of 75692. The greatest factor of 75692 is 75692.

3. What are the Factors of 75699?

Answer: Factors of 75699 are 1, 3, 9, 13, 39, 117, 647, 1941, 5823, 8411, 25233, 75699. There are 12 integers that are factors of 75699. The greatest factor of 75699 is 75699.

4. How to Find the LCM of 75692 and 75699?

Answer:

Least Common Multiple of 75692 and 75699 = 5729808708

Step 1: Find the prime factorization of 75692

75692 = 2 x 2 x 127 x 149

Step 2: Find the prime factorization of 75699

75699 = 3 x 3 x 13 x 647

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

LCM = 5729808708 = 2 x 2 x 3 x 3 x 13 x 127 x 149 x 647

Step 4: Therefore, the least common multiple of 75692 and 75699 is 5729808708.