LCM for 34 and 85

"Least Common Multiple" Calculator
Least Common Multiple of
and

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

Answer

LCM of 34 and 85 is
170

(One hundred seventy)

Finding LCM for 34 and 85 using GCF of these numbers

The first method to find LCM for numbers 34 and 85 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 34 and 85 is 17, so

LCM = (34 × 85) ÷ 17

LCM = 2,890 ÷ 17

LCM = 170

Finding LCM for 34 and 85 by Listing Multiples

The second method to find LCM for numbers 34 and 85 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 34: 34, 68, 102, 136, 170, 204, 238

Multiples of 85: 85, 170, 255, 340

So the LCM for 34 and 85 is 170

Finding LCM for 34 and 85 by Prime Factorization

Another method to find LCM for numbers 34 and 85 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 34: 2, 17 (exponent form: 21, 171)

All Prime Factors of 85: 5, 17 (exponent form: 51, 171)

21 × 171 × 51 = 170

Related Calculations

See Also

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 34 and 85? (The answer is: 170). Select the first number (e.g. '34') and the second number (e.g. '85'). 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
"Least Common Multiple" Calculator
Least Common Multiple of
and

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