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LCM for 12 and 46

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 12 and 46?

Answer

LCM of 12 and 46 is 276

(Two hundred seventy-six)

Finding LCM for 12 and 46 using GCF of these numbers

The first method to find LCM for numbers 12 and 46 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 12 and 46 is 2, so

LCM = (12 × 46) ÷ 2

LCM = 552 ÷ 2

LCM = 276

Finding LCM for 12 and 46 by Listing Multiples

The second method to find LCM for numbers 12 and 46 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300

Multiples of 46: 46, 92, 138, 184, 230, 276, 322, 368

So the LCM for 12 and 46 is 276

Finding LCM for 12 and 46 by Prime Factorization

Another method to find LCM for numbers 12 and 46 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 12: 2, 2, 3 (exponent form: 22, 31)

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

22 × 31 × 231 = 276

Related Calculations

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What is the LCM of 12 and 46?. Find the LCM of 12 and 46 - the smallest common multiple of two integers.
https://calculat.io/en/number/least-common-multiple-lcm-of/12--46/generated.jpgCopy

LCM Table

Number 1Number 2LCM
14646
24646
346138
44692
546230
646138
746322
846184
946414
1046230
1146506
1246276
1346598
1446322
1546690
1646368
1746782
1846414
1946874
2046460
2146966
2246506
234646
2446552
25461150
2646598
27461242
2846644
29461334
3046690

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 12 and 46? (The answer is: 276). Select the first number (e.g. '12') 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

FAQ

What's the Least Common Multiple (LCM) of 12 and 46?

LCM of 12 and 46 is 276

How to find the LCM of 12 and 46 using prime factorization?

To find the LCM of 12 and 46, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 276.

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 12 and 46: LCM = 276, GCF = 2.

See Also