LCM for 20 and 190

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 20 and 190?

Answer

LCM of 20 and 190 is 380

(Three hundred eighty)

Finding LCM for 20 and 190 using GCF of these numbers

The first method to find LCM for numbers 20 and 190 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 20 and 190 is 10, so

LCM = (20 × 190) ÷ 10

LCM = 3800 ÷ 10

LCM = 380

Finding LCM for 20 and 190 by Listing Multiples

The second method to find LCM for numbers 20 and 190 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420

Multiples of 190: 190, 380, 570, 760

So the LCM for 20 and 190 is 380

Finding LCM for 20 and 190 by Prime Factorization

Another method to find LCM for numbers 20 and 190 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 20: 2, 2, 5 (exponent form: 22, 51)

All Prime Factors of 190: 2, 5, 19 (exponent form: 21, 51, 191)

22 × 51 × 191 = 380

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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 20 and 190? (The answer is: 380). Select the first number (e.g. '20') and the second number (e.g. '190'). 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

LCM Table

Number 1Number 2LCM
5190190
6190570
71901330
8190760
91901710
10190190
111902090
121901140
131902470
141901330
15190570
161901520
171903230
181901710
19190190
20190380
211903990
221902090
231904370
241902280
25190950
261902470
271905130
281902660
291905510
30190570
311905890
321903040
331906270
341903230

FAQ

What's the Least Common Multiple (LCM) of 20 and 190?

LCM of 20 and 190 is 380

How to find the LCM of 20 and 190 using prime factorization?

To find the LCM of 20 and 190, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 380.

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 20 and 190: LCM = 380, GCF = 10.

See Also