LCM for 42 and 91
What's the Least Common Multiple (LCM) of 42 and 91?
Answer
(Five hundred forty-six)
Finding LCM for 42 and 91 using GCF of these numbers
The first method to find LCM for numbers 42 and 91 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 42 and 91 is 7, so
LCM = (42 × 91) ÷ 7
LCM = 3822 ÷ 7
LCM = 546
Finding LCM for 42 and 91 by Listing Multiples
The second method to find LCM for numbers 42 and 91 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 42: 42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588, 630
Multiples of 91: 91, 182, 273, 364, 455, 546, 637, 728
So the LCM for 42 and 91 is 546
Finding LCM for 42 and 91 by Prime Factorization
Another method to find LCM for numbers 42 and 91 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 42: 2, 3, 7 (exponent form: 21, 31, 71)
All Prime Factors of 91: 7, 13 (exponent form: 71, 131)
21 × 31 × 71 × 131 = 546
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/42--91">What is the LCM of 42 and 91? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 27 | 91 | 2457 |
| 28 | 91 | 364 |
| 29 | 91 | 2639 |
| 30 | 91 | 2730 |
| 31 | 91 | 2821 |
| 32 | 91 | 2912 |
| 33 | 91 | 3003 |
| 34 | 91 | 3094 |
| 35 | 91 | 455 |
| 36 | 91 | 3276 |
| 37 | 91 | 3367 |
| 38 | 91 | 3458 |
| 39 | 91 | 273 |
| 40 | 91 | 3640 |
| 41 | 91 | 3731 |
| 42 | 91 | 546 |
| 43 | 91 | 3913 |
| 44 | 91 | 4004 |
| 45 | 91 | 4095 |
| 46 | 91 | 4186 |
| 47 | 91 | 4277 |
| 48 | 91 | 4368 |
| 49 | 91 | 637 |
| 50 | 91 | 4550 |
| 51 | 91 | 4641 |
| 52 | 91 | 364 |
| 53 | 91 | 4823 |
| 54 | 91 | 4914 |
| 55 | 91 | 5005 |
| 56 | 91 | 728 |
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