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LCM for 3 and 35

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 3 and 35?

Answer

LCM of 3 and 35 is 105

(One hundred five)

Finding LCM for 3 and 35 using GCF of these numbers

The first method to find LCM for numbers 3 and 35 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 3 and 35 is 1, so

LCM = (3 × 35) ÷ 1

LCM = 105 ÷ 1

LCM = 105

Finding LCM for 3 and 35 by Listing Multiples

The second method to find LCM for numbers 3 and 35 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105, 108, 111

Multiples of 35: 35, 70, 105, 140, 175

So the LCM for 3 and 35 is 105

Finding LCM for 3 and 35 by Prime Factorization

Another method to find LCM for numbers 3 and 35 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 3: 3 (exponent form: 31)

All Prime Factors of 35: 5, 7 (exponent form: 51, 71)

31 × 51 × 71 = 105

Related Calculations

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What is the LCM of 3 and 35?. The LCM of 3 and 35 is 105 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
399
31030
31133
31212
31339
31442
31515
31648
31751
31818
31957
32060
32121
32266
32369
32575
32884
335105
33636
337111
33939
34242
34545
349147
35151
352156
35757
358174
359177
36060

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 3 and 35? (The answer is: 105). Select the first number (e.g. '3') and the second number (e.g. '35'). 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

FAQ

What's the Least Common Multiple (LCM) of 3 and 35?

LCM of 3 and 35 is 105

How to find the LCM of 3 and 35 using prime factorization?

To find the LCM of 3 and 35, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 105.

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 3 and 35: LCM = 105, GCF = 1.

See Also