LCM for 34 and 85

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What's the Least Common Multiple (LCM) of 34 and 85?

Answer

LCM of 34 and 85 is
170

First common multiples: 170, 340, 510, …

170 is divisible by both: 170 ÷ 34 = 5, 170 ÷ 85 = 2 — and 5 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/34 by 5 and of y/85 by 2.

34 = 2 × 17

85 = 5 × 17

Prime3485Highest power
22—2
5—55
17171717

— = 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

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LCM Table

Number 1Number 2LCM
34701,190
34712,414
34721,224
34732,482
34741,258
34752,550
34761,292
34772,618
34781,326
34792,686
34801,360
34812,754
34821,394
34832,822
34841,428
3485170
34861,462
34872,958
34881,496
34893,026
34901,530
34913,094
34921,564
34933,162
34941,598
34953,230
34961,632
34973,298
34981,666
34993,366

FAQ

What's the Least Common Multiple (LCM) of 34 and 85?

LCM of 34 and 85 is 170

How to find the LCM of 34 and 85 using prime factorization?

To find the LCM of 34 and 85, 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 34 and 85: LCM = 170, GCF = 17.

See Also