Least Common Multiple of 75690 and 75696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 75690 and 75696 the smallest integer that is 954905040 that is divisible by both numbers.

Least Common Multiple (LCM) of 75690 and 75696 is 954905040.

LCM(75690,75696) = 954905040

LCM of 75690 and 75696

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

LCM of:
and

Least Common Multiple of 75690 and 75696

LCM of 75690 and 75696 is 954905040

Least common multiple can be found by multiplying the highest exponent prime factors of 75690 and 75696. First we will calculate the prime factors of 75690 and 75696.

Prime Factorization of 75690


2 75690
3 37845
3 12615
5 4205
29 841
29 29
1

Prime factors of 75690 are 2, 3, 5,29. Prime factorization of 75690 in exponential form is:

75690 = 21×32×51×292

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

Now multiplying the highest exponent prime factors to calculate the LCM of 75690 and 75696.

LCM(75690,75696) = 24×32×51×191×292×831
LCM(75690,75696) = 954905040

Factors of 75690

List of positive integer factors of 75690 that divides 75690 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 841, 870, 1305, 1682, 2523, 2610, 4205, 5046, 7569, 8410, 12615, 15138, 25230, 37845, 75690

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

Least Common Multiple of 75690 and 75696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75690 and 75696, than apply into the LCM equation.

GCF(75690,75696) = 6
LCM(75690,75696) = ( 75690 × 75696) / 6
LCM(75690,75696) = 5729430240 / 6
LCM(75690,75696) = 954905040

Properties of LCM 75690 and 75696

(i) The LCM of 75696 and 75690 is associative

LCM of 75690 and 75696 = LCM of 75696 and 75690

Related Least Common Multiples of 75690

Related Least Common Multiples of 75696

Frequently Asked Questions on LCM of 75690 and 75696

1. What is the LCM of 75690 and 75696?

Answer: LCM of 75690 and 75696 is 954905040.

2. What are the Factors of 75690?

Answer: Factors of 75690 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 841, 870, 1305, 1682, 2523, 2610, 4205, 5046, 7569, 8410, 12615, 15138, 25230, 37845, 75690. There are 36 integers that are factors of 75690. The greatest factor of 75690 is 75690.

3. 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.

4. How to Find the LCM of 75690 and 75696?

Answer:

Least Common Multiple of 75690 and 75696 = 954905040

Step 1: Find the prime factorization of 75690

75690 = 2 x 3 x 3 x 5 x 29 x 29

Step 2: Find the prime factorization of 75696

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

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

LCM = 954905040 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 19 x 29 x 29 x 83

Step 4: Therefore, the least common multiple of 75690 and 75696 is 954905040.