Least Common Multiple of 146371 and 146376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 146371 and 146376 the smallest integer that is 21425201496 that is divisible by both numbers.

Least Common Multiple (LCM) of 146371 and 146376 is 21425201496.

LCM(146371,146376) = 21425201496

LCM of 146371 and 146376

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

LCM of:
and

Least Common Multiple of 146371 and 146376

LCM of 146371 and 146376 is 21425201496

Least common multiple can be found by multiplying the highest exponent prime factors of 146371 and 146376. First we will calculate the prime factors of 146371 and 146376.

Prime Factorization of 146371


197 146371
743 743
1

Prime factors of 146371 are 197,743. Prime factorization of 146371 in exponential form is:

146371 = 1971×7431

Prime Factorization of 146376


2 146376
2 73188
2 36594
3 18297
3 6099
19 2033
107 107
1

Prime factors of 146376 are 2, 3, 19,107. Prime factorization of 146376 in exponential form is:

146376 = 23×32×191×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 146371 and 146376.

LCM(146371,146376) = 23×32×191×1071×1971×7431
LCM(146371,146376) = 21425201496

Factors of 146371

List of positive integer factors of 146371 that divides 146371 without a remainder.

1, 197, 743, 146371

Factors of 146376

List of positive integer factors of 146376 that divides 146376 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 107, 114, 152, 171, 214, 228, 321, 342, 428, 456, 642, 684, 856, 963, 1284, 1368, 1926, 2033, 2568, 3852, 4066, 6099, 7704, 8132, 12198, 16264, 18297, 24396, 36594, 48792, 73188, 146376

Least Common Multiple of 146371 and 146376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146371 and 146376, than apply into the LCM equation.

GCF(146371,146376) = 1
LCM(146371,146376) = ( 146371 × 146376) / 1
LCM(146371,146376) = 21425201496 / 1
LCM(146371,146376) = 21425201496

Properties of LCM 146371 and 146376

(i) The LCM of 146376 and 146371 is associative

LCM of 146371 and 146376 = LCM of 146376 and 146371

Related Least Common Multiples of 146371

Related Least Common Multiples of 146376

Frequently Asked Questions on LCM of 146371 and 146376

1. What is the LCM of 146371 and 146376?

Answer: LCM of 146371 and 146376 is 21425201496.

2. What are the Factors of 146371?

Answer: Factors of 146371 are 1, 197, 743, 146371. There are 4 integers that are factors of 146371. The greatest factor of 146371 is 146371.

3. What are the Factors of 146376?

Answer: Factors of 146376 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 107, 114, 152, 171, 214, 228, 321, 342, 428, 456, 642, 684, 856, 963, 1284, 1368, 1926, 2033, 2568, 3852, 4066, 6099, 7704, 8132, 12198, 16264, 18297, 24396, 36594, 48792, 73188, 146376. There are 48 integers that are factors of 146376. The greatest factor of 146376 is 146376.

4. How to Find the LCM of 146371 and 146376?

Answer:

Least Common Multiple of 146371 and 146376 = 21425201496

Step 1: Find the prime factorization of 146371

146371 = 197 x 743

Step 2: Find the prime factorization of 146376

146376 = 2 x 2 x 2 x 3 x 3 x 19 x 107

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

LCM = 21425201496 = 2 x 2 x 2 x 3 x 3 x 19 x 107 x 197 x 743

Step 4: Therefore, the least common multiple of 146371 and 146376 is 21425201496.