LCM for 31 and 93

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What's the Least Common Multiple (LCM) of 31 and 93?

Answer

LCM of 31 and 93 is
93

(Ninety-three)

Finding LCM for 31 and 93 using GCF of these numbers

The first method to find LCM for numbers 31 and 93 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 31 and 93 is 31, so

LCM = (31 × 93) ÷ 31

LCM = 2,883 ÷ 31

LCM = 93

Finding LCM for 31 and 93 by Listing Multiples

The second method to find LCM for numbers 31 and 93 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 31: 31, 62, 93, 124, 155

Multiples of 93: 93, 186, 279

So the LCM for 31 and 93 is 93

Finding LCM for 31 and 93 by Prime Factorization

Another method to find LCM for numbers 31 and 93 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 93: 3, 31 (exponent form: 31, 311)

311 × 31 = 93

See Also

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 31 and 93? (The answer is: 93). Select the first number (e.g. '31') and the second number (e.g. '93'). 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
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LCM Table

Number 1Number 2LCM
31782,418
31792,449
31802,480
31812,511
31822,542
31832,573
31842,604
31852,635
31862,666
31872,697
31882,728
31892,759
31902,790
31912,821
31922,852
319393
31942,914
31952,945
31962,976
31973,007
31983,038
31993,069
311003,100
311013,131
311023,162
311033,193
311043,224
311053,255
311063,286
311073,317

FAQ

What's the Least Common Multiple (LCM) of 31 and 93?

LCM of 31 and 93 is 93

How to find the LCM of 31 and 93 using prime factorization?

To find the LCM of 31 and 93, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 93.

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 31 and 93: LCM = 93, GCF = 31.