LCM for 3 and 46

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 3 and 46?

Answer

LCM of 3 and 46 is
138

(One hundred thirty-eight)

Finding LCM for 3 and 46 using GCF of these numbers

The first method to find LCM for numbers 3 and 46 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 3 and 46 is 1, so

LCM = (3 × 46) ÷ 1

LCM = 138 ÷ 1

LCM = 138

Finding LCM for 3 and 46 by Listing Multiples

The second method to find LCM for numbers 3 and 46 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, 114, 117, 120, 123, 126, 129, 132, 135, 138, 141, 144

Multiples of 46: 46, 92, 138, 184, 230

So the LCM for 3 and 46 is 138

Finding LCM for 3 and 46 by Prime Factorization

Another method to find LCM for numbers 3 and 46 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 46: 2, 23 (exponent form: 21, 231)

31 × 21 × 231 = 138

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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 46? (The answer is: 138). Select the first number (e.g. '3') and the second number (e.g. '46'). 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
31030
31133
31212
31339
31442
31515
31648
31751
31818
31957
32060
32121
32266
32369
32575
32884
335105
33636
337111
33939
34242
34545
346138
349147
35151
352156
35757
358174
359177
36060

FAQ

What's the Least Common Multiple (LCM) of 3 and 46?

LCM of 3 and 46 is 138

How to find the LCM of 3 and 46 using prime factorization?

To find the LCM of 3 and 46, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 138.

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 46: LCM = 138, GCF = 1.

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