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LCM for 7 and 31

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 7 and 31?

Answer

LCM of 7 and 31 is 217

(Two hundred seventeen)

Finding LCM for 7 and 31 using GCF of these numbers

The first method to find LCM for numbers 7 and 31 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 7 and 31 is 1, so

LCM = (7 × 31) ÷ 1

LCM = 217 ÷ 1

LCM = 217

Finding LCM for 7 and 31 by Listing Multiples

The second method to find LCM for numbers 7 and 31 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231

Multiples of 31: 31, 62, 93, 124, 155, 186, 217, 248, 279

So the LCM for 7 and 31 is 217

Finding LCM for 7 and 31 by Prime Factorization

Another method to find LCM for numbers 7 and 31 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 7: 7 (exponent form: 71)

All Prime Factors of 31: 31 (exponent form: 311)

71 × 311 = 217

Related Calculations

See Also

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What is the LCM of 7 and 31?. Find the LCM of 7 and 31 - the smallest common multiple of two integers.
https://calculat.io/en/number/least-common-multiple-lcm-of/7--31/generated.jpgCopy

LCM Table

Number 1Number 2LCM
13131
23162
33193
431124
531155
631186
731217
831248
931279
1031310
1131341
1231372
1331403
1431434
1531465
1631496
1731527
1831558
1931589
2031620
2131651
2231682
2331713
2431744
2531775
2631806
2731837
2831868
2931899
3031930

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 7 and 31? (The answer is: 217). Select the first number (e.g. '7') 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 7 and 31?

LCM of 7 and 31 is 217

How to find the LCM of 7 and 31 using prime factorization?

To find the LCM of 7 and 31, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 217.

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 7 and 31: LCM = 217, GCF = 1.

See Also