LCM for 34 and 102

What's the Least Common Multiple (LCM) of 34 and 102?

Answer: LCM of 34 and 102 is 102

(One hundred two)

Finding LCM for 34 and 102 using GCF's of these numbers

The first method to find LCM for numbers 34 and 102 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 34 and 102 is 34, so

LCM = (34 × 102) ÷ 34

LCM = 3468 ÷ 34

LCM = 102

Finding LCM for 34 and 102 by Listing Multiples

The second method to find LCM for numbers 34 and 102 is to list out the common multiples for both nubmers and pick the first which matching:

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

Multiples of 102: 102, 204, 306, 408, 510, [...], 102

So the LCM for 34 and 102 is 102

Finding LCM for 34 and 102 by Prime Factorization

Another method to find LCM for numbers 34 and 102 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 102: 2, 3, 17 (exponent form: 21, 31, 171)

21 × 171 × 31 = 102

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 102? (The answer is: 102). Select the first number (e.g. '34') and the second number (e.g. '102'). 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

LCM Table

Number 1Number 2LCM
191021938
201021020
21102714
221021122
231022346
24102408
251022550
261021326
27102918
281021428
291022958
30102510
311023162
321021632
331021122
34102
351023570
36102612
371023774
381021938
391021326
401022040
411024182
42102714
431024386
441022244
451021530
461022346
471024794
48102816

FAQ

What's the Least Common Multiple (LCM) of 34 and 102?

LCM of 34 and 102 is 102