LCM for 68 and 102
What's the Least Common Multiple (LCM) of 68 and 102?
(Two hundred four)
Finding LCM for 68 and 102 using GCF's of these numbers
The first method to find LCM for numbers 68 and 102 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 68 and 102 is 34, so
LCM = (68 × 102) ÷ 34
LCM = 6936 ÷ 34
LCM = 204
Finding LCM for 68 and 102 by Listing Multiples
The second method to find LCM for numbers 68 and 102 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 68: 68, 136, 204, 272, 340
Multiples of 102: 102, 204, 306, 408
So the LCM for 68 and 102 is 204
Finding LCM for 68 and 102 by Prime Factorization
Another method to find LCM for numbers 68 and 102 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 68: 2, 2, 17 (exponent form: 22, 171)
All Prime Factors of 102: 2, 3, 17 (exponent form: 21, 31, 171)
22 × 171 × 31 = 204
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/68--102">What is the LCM of 68 and 102? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 53 | 102 | 5406 |
| 54 | 102 | 918 |
| 55 | 102 | 5610 |
| 56 | 102 | 2856 |
| 57 | 102 | 1938 |
| 58 | 102 | 2958 |
| 59 | 102 | 6018 |
| 60 | 102 | 1020 |
| 61 | 102 | 6222 |
| 62 | 102 | 3162 |
| 63 | 102 | 2142 |
| 64 | 102 | 3264 |
| 65 | 102 | 6630 |
| 66 | 102 | 1122 |
| 67 | 102 | 6834 |
| 68 | 102 | 204 |
| 69 | 102 | 2346 |
| 70 | 102 | 3570 |
| 71 | 102 | 7242 |
| 72 | 102 | 1224 |
| 73 | 102 | 7446 |
| 74 | 102 | 3774 |
| 75 | 102 | 2550 |
| 76 | 102 | 3876 |
| 77 | 102 | 7854 |
| 78 | 102 | 1326 |
| 79 | 102 | 8058 |
| 80 | 102 | 4080 |
| 81 | 102 | 2754 |
| 82 | 102 | 4182 |
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers