LCM for 17 and 34

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What's the Least Common Multiple (LCM) of 17 and 34?

Answer

LCM of 17 and 34 is
34

First common multiples: 34, 68, 102, …

As a common denominator: multiply the top and bottom of x/17 by 2.

17 divides 34 (34 ÷ 17 = 2), so the LCM is the larger number itself.

17 — prime

34 = 2 × 17

Prime1734Highest power
2—22
17171717

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

LCM = 2 × 17 = 34

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LCM Table

Number 1Number 2LCM
1718306
1719323
1720340
1724408
1725425
1727459
1728476
1729493
1731527
173434
1735595
1741697
1742714
1744748
1745765
1746782
1749833
175151
1752884
1754918
17591,003

FAQ

What's the Least Common Multiple (LCM) of 17 and 34?

LCM of 17 and 34 is 34

How to find the LCM of 17 and 34 using prime factorization?

To find the LCM of 17 and 34, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 34.

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 17 and 34: LCM = 34, GCF = 17.

See Also