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LCM for 50 and 130

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 50 and 130?

Answer

LCM of 50 and 130 is 650

(Six hundred fifty)

Finding LCM for 50 and 130 using GCF of these numbers

The first method to find LCM for numbers 50 and 130 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 50 and 130 is 10, so

LCM = (50 × 130) ÷ 10

LCM = 6500 ÷ 10

LCM = 650

Finding LCM for 50 and 130 by Listing Multiples

The second method to find LCM for numbers 50 and 130 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 50: 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 650, 700, 750

Multiples of 130: 130, 260, 390, 520, 650, 780, 910

So the LCM for 50 and 130 is 650

Finding LCM for 50 and 130 by Prime Factorization

Another method to find LCM for numbers 50 and 130 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 50: 2, 5, 5 (exponent form: 21, 52)

All Prime Factors of 130: 2, 5, 13 (exponent form: 21, 51, 131)

21 × 52 × 131 = 650

Related Calculations

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What is the LCM of 50 and 130?. Find the LCM of 50 and 130 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
35130910
361302340
371304810
381302470
39130390
40130520
411305330
421302730
431305590
441302860
451301170
461302990
471306110
481303120
491306370
50130650
511306630
52130260
531306890
541303510
551301430
561303640
571307410
581303770
591307670
60130780
611307930
621304030
631308190
641304160

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 50 and 130? (The answer is: 650). Select the first number (e.g. '50') and the second number (e.g. '130'). 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 50 and 130?

LCM of 50 and 130 is 650

How to find the LCM of 50 and 130 using prime factorization?

To find the LCM of 50 and 130, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 650.

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 50 and 130: LCM = 650, GCF = 10.

See Also