Least Common Multiple of 75696 and 75702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 75696 and 75702 the smallest integer that is 955056432 that is divisible by both numbers.

Least Common Multiple (LCM) of 75696 and 75702 is 955056432.

LCM(75696,75702) = 955056432

LCM of 75696 and 75702

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

LCM of:
and

Least Common Multiple of 75696 and 75702

LCM of 75696 and 75702 is 955056432

Least common multiple can be found by multiplying the highest exponent prime factors of 75696 and 75702. First we will calculate the prime factors of 75696 and 75702.

Prime Factorization of 75696


2 75696
2 37848
2 18924
2 9462
3 4731
19 1577
83 83
1

Prime factors of 75696 are 2, 3, 19,83. Prime factorization of 75696 in exponential form is:

75696 = 24×31×191×831

Prime Factorization of 75702


2 75702
3 37851
11 12617
31 1147
37 37
1

Prime factors of 75702 are 2, 3, 11, 31,37. Prime factorization of 75702 in exponential form is:

75702 = 21×31×111×311×371

Now multiplying the highest exponent prime factors to calculate the LCM of 75696 and 75702.

LCM(75696,75702) = 24×31×111×191×311×371×831
LCM(75696,75702) = 955056432

Factors of 75696

List of positive integer factors of 75696 that divides 75696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 83, 114, 152, 166, 228, 249, 304, 332, 456, 498, 664, 912, 996, 1328, 1577, 1992, 3154, 3984, 4731, 6308, 9462, 12616, 18924, 25232, 37848, 75696

Factors of 75702

List of positive integer factors of 75702 that divides 75702 without a remainder.

1, 2, 3, 6, 11, 22, 31, 33, 37, 62, 66, 74, 93, 111, 186, 222, 341, 407, 682, 814, 1023, 1147, 1221, 2046, 2294, 2442, 3441, 6882, 12617, 25234, 37851, 75702

Least Common Multiple of 75696 and 75702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75696 and 75702, than apply into the LCM equation.

GCF(75696,75702) = 6
LCM(75696,75702) = ( 75696 × 75702) / 6
LCM(75696,75702) = 5730338592 / 6
LCM(75696,75702) = 955056432

Properties of LCM 75696 and 75702

(i) The LCM of 75702 and 75696 is associative

LCM of 75696 and 75702 = LCM of 75702 and 75696

Related Least Common Multiples of 75696

Related Least Common Multiples of 75702

Frequently Asked Questions on LCM of 75696 and 75702

1. What is the LCM of 75696 and 75702?

Answer: LCM of 75696 and 75702 is 955056432.

2. What are the Factors of 75696?

Answer: Factors of 75696 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 83, 114, 152, 166, 228, 249, 304, 332, 456, 498, 664, 912, 996, 1328, 1577, 1992, 3154, 3984, 4731, 6308, 9462, 12616, 18924, 25232, 37848, 75696. There are 40 integers that are factors of 75696. The greatest factor of 75696 is 75696.

3. What are the Factors of 75702?

Answer: Factors of 75702 are 1, 2, 3, 6, 11, 22, 31, 33, 37, 62, 66, 74, 93, 111, 186, 222, 341, 407, 682, 814, 1023, 1147, 1221, 2046, 2294, 2442, 3441, 6882, 12617, 25234, 37851, 75702. There are 32 integers that are factors of 75702. The greatest factor of 75702 is 75702.

4. How to Find the LCM of 75696 and 75702?

Answer:

Least Common Multiple of 75696 and 75702 = 955056432

Step 1: Find the prime factorization of 75696

75696 = 2 x 2 x 2 x 2 x 3 x 19 x 83

Step 2: Find the prime factorization of 75702

75702 = 2 x 3 x 11 x 31 x 37

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

LCM = 955056432 = 2 x 2 x 2 x 2 x 3 x 11 x 19 x 31 x 37 x 83

Step 4: Therefore, the least common multiple of 75696 and 75702 is 955056432.