LCM for 8 and 46

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What's the Least Common Multiple (LCM) of 8 and 46?

Answer

LCM of 8 and 46 is
184

(One hundred eighty-four)

Finding LCM for 8 and 46 using GCF of these numbers

The first method to find LCM for numbers 8 and 46 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 8 and 46 is 2, so

LCM = (8 × 46) ÷ 2

LCM = 368 ÷ 2

LCM = 184

Finding LCM for 8 and 46 by Listing Multiples

The second method to find LCM for numbers 8 and 46 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200

Multiples of 46: 46, 92, 138, 184, 230, 276

So the LCM for 8 and 46 is 184

Finding LCM for 8 and 46 by Prime Factorization

Another method to find LCM for numbers 8 and 46 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 8: 2, 2, 2 (exponent form: 23)

All Prime Factors of 46: 2, 23 (exponent form: 21, 231)

23 × 231 = 184

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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 8 and 46? (The answer is: 184). Select the first number (e.g. '8') 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
Recalculate with different values ↑

LCM Table

Number 1Number 2LCM
82424
825200
826104
827216
82856
830120
83232
833264
835280
83672
84040
841328
843344
84488
845360
846184
84848
849392
851408
852104
857456
858232
860120
863504
86464
87272
88080
890360
89696
8100200

FAQ

What's the Least Common Multiple (LCM) of 8 and 46?

LCM of 8 and 46 is 184

How to find the LCM of 8 and 46 using prime factorization?

To find the LCM of 8 and 46, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 184.

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 8 and 46: LCM = 184, GCF = 2.

See Also