LCM for 78 and 130

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What's the Least Common Multiple (LCM) of 78 and 130?

Answer

LCM of 78 and 130 is
390

(Three hundred ninety)

Finding LCM for 78 and 130 using GCF of these numbers

The first method to find LCM for numbers 78 and 130 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 78 and 130 is 26, so

LCM = (78 × 130) ÷ 26

LCM = 10,140 ÷ 26

LCM = 390

Finding LCM for 78 and 130 by Listing Multiples

The second method to find LCM for numbers 78 and 130 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 78: 78, 156, 234, 312, 390, 468, 546

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

So the LCM for 78 and 130 is 390

Finding LCM for 78 and 130 by Prime Factorization

Another method to find LCM for numbers 78 and 130 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 78: 2, 3, 13 (exponent form: 21, 31, 131)

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

21 × 31 × 131 × 51 = 390

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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 78 and 130? (The answer is: 390). Select the first number (e.g. '78') 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
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LCM Table

Number 1Number 2LCM
781158,970
781164,524
78117234
781184,602
781199,282
781201,560
781219,438
781224,758
781233,198
781244,836
781259,750
781261,638
781279,906
781284,992
781293,354
78130390
7813110,218
781321,716
7813310,374
781345,226
781353,510
781365,304
7813710,686
781381,794
7813910,842
781405,460
781413,666
781425,538
78143858
781441,872

FAQ

What's the Least Common Multiple (LCM) of 78 and 130?

LCM of 78 and 130 is 390

How to find the LCM of 78 and 130 using prime factorization?

To find the LCM of 78 and 130, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 390.

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 78 and 130: LCM = 390, GCF = 26.

See Also