LCM for 10 and 34

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 10 and 34?

Answer

LCM of 10 and 34 is
170

First common multiples: 170, 340, 510, …

170 is divisible by both: 170 ÷ 10 = 17, 170 ÷ 34 = 5 — and 17 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/10 by 17 and of y/34 by 5.

10 = 2 × 5

34 = 2 × 17

Prime1034Highest power
2222
55—5
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 × 5 × 17 = 170

More with these numbers

Related Calculations

See Also

LCM Table

Number 1Number 2LCM
1013130
101470
101530
101680
101890
1019190
102020
1021210
1022110
1023230
1024120
102550
1027270
103030
1031310
1034170
103570
1036180
1038190
104040
1041410
1043430
1044220
104590
1046230
1048240
105050
1051510
1053530
1055110

FAQ

What's the Least Common Multiple (LCM) of 10 and 34?

LCM of 10 and 34 is 170

How to find the LCM of 10 and 34 using prime factorization?

To find the LCM of 10 and 34, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 170.

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 10 and 34: LCM = 170, GCF = 2.

See Also