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LCM for 12 and 31

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 12 and 31?

Answer

LCM of 12 and 31 is 372

(Three hundred seventy-two)

Finding LCM for 12 and 31 using GCF of these numbers

The first method to find LCM for numbers 12 and 31 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 12 and 31 is 1, so

LCM = (12 × 31) ÷ 1

LCM = 372 ÷ 1

LCM = 372

Finding LCM for 12 and 31 by Listing Multiples

The second method to find LCM for numbers 12 and 31 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, 312, 324, 336, 348, 360, 372, 384, 396

Multiples of 31: 31, 62, 93, 124, 155, 186, 217, 248, 279, 310, 341, 372, 403, 434

So the LCM for 12 and 31 is 372

Finding LCM for 12 and 31 by Prime Factorization

Another method to find LCM for numbers 12 and 31 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 31: 31 (exponent form: 311)

22 × 31 × 311 = 372

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What is the LCM of 12 and 31?. The LCM of 12 and 31 is 372 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
121648
1217204
121836
1219228
122060
122184
1222132
1223276
122424
1225300
1226156
1227108
122884
1229348
123060
1231372
123296
1233132
1235420
123636
1239156
1240120
124284
1244132
1245180
1246276
124848
1250300
1252156
1254108

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 31? (The answer is: 372). Select the first number (e.g. '12') and the second number (e.g. '31'). 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 31?

LCM of 12 and 31 is 372

How to find the LCM of 12 and 31 using prime factorization?

To find the LCM of 12 and 31, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 372.

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 31: LCM = 372, GCF = 1.

See Also