Least Common Multiple of 3762 and 3769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3762 and 3769 the smallest integer that is 14178978 that is divisible by both numbers.

Least Common Multiple (LCM) of 3762 and 3769 is 14178978.

LCM(3762,3769) = 14178978

LCM of 3762 and 3769

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

LCM of:
and

Least Common Multiple of 3762 and 3769

LCM of 3762 and 3769 is 14178978

Least common multiple can be found by multiplying the highest exponent prime factors of 3762 and 3769. First we will calculate the prime factors of 3762 and 3769.

Prime Factorization of 3762


2 3762
3 1881
3 627
11 209
19 19
1

Prime factors of 3762 are 2, 3, 11,19. Prime factorization of 3762 in exponential form is:

3762 = 21×32×111×191

Prime Factorization of 3769


3769 3769
1

Prime factors of 3769 are 3769. Prime factorization of 3769 in exponential form is:

3769 = 37691

Now multiplying the highest exponent prime factors to calculate the LCM of 3762 and 3769.

LCM(3762,3769) = 21×32×111×191×37691
LCM(3762,3769) = 14178978

Factors of 3762

List of positive integer factors of 3762 that divides 3762 without a remainder.

1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881, 3762

Factors of 3769

List of positive integer factors of 3769 that divides 3769 without a remainder.

1, 3769

Least Common Multiple of 3762 and 3769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3762 and 3769, than apply into the LCM equation.

GCF(3762,3769) = 1
LCM(3762,3769) = ( 3762 × 3769) / 1
LCM(3762,3769) = 14178978 / 1
LCM(3762,3769) = 14178978

Properties of LCM 3762 and 3769

(i) The LCM of 3769 and 3762 is associative

LCM of 3762 and 3769 = LCM of 3769 and 3762

Related Least Common Multiples of 3762

Related Least Common Multiples of 3769

Frequently Asked Questions on LCM of 3762 and 3769

1. What is the LCM of 3762 and 3769?

Answer: LCM of 3762 and 3769 is 14178978.

2. What are the Factors of 3762?

Answer: Factors of 3762 are 1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881, 3762. There are 24 integers that are factors of 3762. The greatest factor of 3762 is 3762.

3. What are the Factors of 3769?

Answer: Factors of 3769 are 1, 3769. There are 2 integers that are factors of 3769. The greatest factor of 3769 is 3769.

4. How to Find the LCM of 3762 and 3769?

Answer:

Least Common Multiple of 3762 and 3769 = 14178978

Step 1: Find the prime factorization of 3762

3762 = 2 x 3 x 3 x 11 x 19

Step 2: Find the prime factorization of 3769

3769 = 3769

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

LCM = 14178978 = 2 x 3 x 3 x 11 x 19 x 3769

Step 4: Therefore, the least common multiple of 3762 and 3769 is 14178978.