LCM for 14 and 17

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What's the Least Common Multiple (LCM) of 14 and 17?

Answer

LCM of 14 and 17 is
238

First common multiples: 238, 476, 714, …

238 is divisible by both: 238 ÷ 14 = 17, 238 ÷ 17 = 14 — and 17 and 14 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/14 by 17 and of y/17 by 14.

14 and 17 are coprime (GCF = 1), so their LCM is simply the product: 14 × 17 = 238.

14 = 2 × 7

17 — prime

Prime1417Highest power
22—2
77—7
17—1717

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2 × 7 × 17 = 238

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LCM Table

Number 1Number 2LCM
149126
1415210
1416112
1417238
1418126
1419266
1420140
142142
1422154
1423322
1424168
1425350
1426182
1427378
142828
1430210
1432224
143570
1439546
1441574
144242
1444308
1445630
144998
1455770
1457798
1458406
1460420
1463126
148484

FAQ

What's the Least Common Multiple (LCM) of 14 and 17?

LCM of 14 and 17 is 238

How to find the LCM of 14 and 17 using prime factorization?

To find the LCM of 14 and 17, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 238.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 14 and 17: LCM = 238, GCF = 1.

See Also