LCM for 17 and 46

What's the Least Common Multiple (LCM) of 17 and 46?

Answer: LCM of 17 and 46 is 782

(Seven hundred eighty-two)

Finding LCM for 17 and 46 using GCF's of these numbers

The first method to find LCM for numbers 17 and 46 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 17 and 46 is 1, so

LCM = (17 × 46) ÷ 1

LCM = 782 ÷ 1

LCM = 782

Finding LCM for 17 and 46 by Listing Multiples

The second method to find LCM for numbers 17 and 46 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 17: 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 306, 323, 340, 357, 374, 391, 408, 425, 442, 459, 476, 493, 510, 527, 544, 561, 578, 595, 612, 629, 646, 663, 680, 697, 714, 731, 748, 765, 782, 799, 816

Multiples of 46: 46, 92, 138, 184, 230, 276, 322, 368, 414, 460, 506, 552, 598, 644, 690, 736, 782, 828, 874

So the LCM for 17 and 46 is 782

Finding LCM for 17 and 46 by Prime Factorization

Another method to find LCM for numbers 17 and 46 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 17: 17 (exponent form: 171)

All Prime Factors of 46: 2, 23 (exponent form: 21, 231)

171 × 21 × 231 = 782

Related Calculations

See Also

LCM Table

Number 1Number 2LCM
24646
346138
44692
546230
646138
746322
846184
946414
1046230
1146506
1246276
1346598
1446322
1546690
1646368
1746
1846414
1946874
2046460
2146966
2246506
2346
2446552
25461150
2646
27461242
2846644
29461334
3046690
31461426

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 17 and 46? (The answer is: 782). Select the first number (e.g. '17') and the second number (e.g. '46'). After that hit the 'Calculate' button.
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

FAQ

What's the Least Common Multiple (LCM) of 17 and 46?

LCM of 17 and 46 is 782